* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * * [misc]points:  Sampling 256 additional inputs, on iter 0 have 0 / 256
* * * * [misc]points:  Computing exacts on every 16 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 8 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 4 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 2 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 256 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 256 points with exact outputs
* * * [misc]progress:  [2/2] Setting up program.
* [misc]progress:  [Phase 2 of 3] Improving.
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (457 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ 2 (+ beta alpha)) (+ (+ 1.0 alpha) (+ 2 beta)))) (+ 2 (+ beta alpha)))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2)
* * * * [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 (exp (* 2 (log (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ 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 (log (+ 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 (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* 2 (log 2)) into (* 2 (log 2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log 2))) into (pow 2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow 2 2)) 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 (exp (* 2 (log (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ 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 (log (+ 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 (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* 2 (log 2)) into (* 2 (log 2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log 2))) into (pow 2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow 2 2)) 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]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 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]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]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 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)))) 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]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 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]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]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 (+ (* 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 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 (exp (* 2 (log (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ 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 (log (+ 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 (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* 2 (log 2)) into (* 2 (log 2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log 2))) into (pow 2 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 (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (* (pow 2 2) 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 (exp (* 2 (log (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ 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 (log (+ 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 (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* 2 (log 2)) into (* 2 (log 2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log 2))) into (pow 2 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 3.0) into 3.0
* [misc]backup-simplify:  Simplify (* (pow 2 2) 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 (exp (* 2 (log (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ 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 (log (+ 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 (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* 2 (log 2)) into (* 2 (log 2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log 2))) into (pow 2 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 3.0) into 3.0
* [misc]backup-simplify:  Simplify (* (pow 2 2) 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 (exp (* 3 (log (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ 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 (log (+ 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 (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* 3 (log 2)) into (* 3 (log 2))
* [misc]backup-simplify:  Simplify (exp (* 3 (log 2))) into (pow 2 3)
* [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 (* (pow 2 3) 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 (exp (* 2 (log (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ 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 (log (+ 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 (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* 2 (log 2)) into (* 2 (log 2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log 2))) into (pow 2 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 3.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta 3.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ 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 (log (+ beta 3.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 3.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (log 3.0) into (log 3.0)
* [misc]backup-simplify:  Simplify (* 2 (log 3.0)) into (* 2 (log 3.0))
* [misc]backup-simplify:  Simplify (exp (* 2 (log 3.0))) into (pow 3.0 2)
* [misc]backup-simplify:  Simplify (* (pow 2 2) (pow 3.0 2)) into (* 4 (pow 3.0 2))
* [misc]backup-simplify:  Simplify (/ 1 (* 4 (pow 3.0 2))) into (/ 1/4 (pow 3.0 2))
* [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 (exp (* 2 (log (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ 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 (log (+ 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 (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* 2 (log 2)) into (* 2 (log 2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log 2))) into (pow 2 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 3.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta 3.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ 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 (log (+ beta 3.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 3.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (log 3.0) into (log 3.0)
* [misc]backup-simplify:  Simplify (* 2 (log 3.0)) into (* 2 (log 3.0))
* [misc]backup-simplify:  Simplify (exp (* 2 (log 3.0))) into (pow 3.0 2)
* [misc]backup-simplify:  Simplify (* (pow 2 2) (pow 3.0 2)) into (* 4 (pow 3.0 2))
* [misc]backup-simplify:  Simplify (/ 1 (* 4 (pow 3.0 2))) into (/ 1/4 (pow 3.0 2))
* [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 (exp (* 3 (log (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ 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 (log (+ 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 (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* 3 (log 2)) into (* 3 (log 2))
* [misc]backup-simplify:  Simplify (exp (* 3 (log 2))) into (pow 2 3)
* [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 (* (pow 2 3) 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 (/ 1/4 (pow 3.0 2))) into (/ 0.25 (pow 3.0 2))
* [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 (+ (/ 0.25 (pow 3.0 2)) 0.08333333333333333) into (+ (* 0.25 (/ 1 (pow 3.0 2))) 0.08333333333333333)
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 0.25 (/ 1 (pow 3.0 2))) 0.08333333333333333)) into (+ (* 0.25 (/ 1 (pow 3.0 2))) 0.08333333333333333)
* [misc]backup-simplify:  Simplify (- (+ (* 0.25 (/ 1 (pow 3.0 2))) 0.08333333333333333)) into (- (+ (* 0.25 (/ 1 (pow 3.0 2))) 0.08333333333333333))
* [misc]backup-simplify:  Simplify (+ 0.08333333333333333 (- (+ (* 0.25 (/ 1 (pow 3.0 2))) 0.08333333333333333))) into (- (* 0.25 (/ 1 (pow 3.0 2))))
* [misc]backup-simplify:  Simplify (- (* 0.25 (/ 1 (pow 3.0 2)))) into (- (* 0.25 (/ 1 (pow 3.0 2))))
* [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 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 2 1/2) (* 0 (log 2))) into 1
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log 2))) (+ (* (/ (pow 1 1) 1)))) into 4
* [misc]backup-simplify:  Simplify (+ (* (pow 2 2) 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)) (+ (* (- (* 0.25 (/ 1 (pow 3.0 2)))) (* 1 alpha)) 0.08333333333333333)) into (- 0.08333333333333333 (+ (* 0.25 (/ alpha (pow 3.0 2))) (* 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]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 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]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]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 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 (- (+ (* 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 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 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]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 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]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]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 (- (+ (* 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 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 (- (+ (* 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 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 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:  [ 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 / 292 ] 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 / 292 ] 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 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (- (log (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (log (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (exp (- (log (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (log (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 3 / 292 ] 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 / 292 ] 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 / 292 ] 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 (311 enodes)
* [exit]simplify:  Simplified to (pow (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ (+ 2 beta) alpha)) 3)
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (cbrt (pow (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ (+ 2 beta) alpha)) 3)) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 6 / 292 ] 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 / 292 ] 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 / 292 ] 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 / 292 ] 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 / 292 ] 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 (101 enodes)
* * [misc]simplify:  iters left: 2 (123 enodes)
* * [misc]simplify:  iters left: 1 (137 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (* (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ 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))))) (+ (+ 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 (82 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (* (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 11 / 292 ] 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 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (/ (sqrt (+ alpha (+ 2 beta))) (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)))) (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (* alpha beta) (+ beta (+ 1.0 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 (82 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 12 / 292 ] 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 (88 enodes)
* * [misc]simplify:  iters left: 2 (120 enodes)
* * [misc]simplify:  iters left: 1 (134 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (* (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (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 (* alpha beta)) (+ beta 1.0))) (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 13 / 292 ] 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 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 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 1 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))))
* * [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 (82 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 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 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 14 / 292 ] 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 (82 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 15 / 292 ] 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 (93 enodes)
* * [misc]simplify:  iters left: 1 (107 enodes)
* [exit]simplify:  Simplified to (sqrt (+ alpha (+ (* alpha beta) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (sqrt (+ alpha (+ (* alpha beta) (+ 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)))
* * [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 (+ alpha (+ (* alpha beta) (+ beta 1.0)))) (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 16 / 292 ] 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 (+ 2 (+ beta alpha))))
* [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 (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 17 / 292 ] 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 (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ 1 (sqrt (+ (+ alpha beta) 2))) (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 18 / 292 ] 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 (105 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (+ 2 beta) alpha))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* 1 (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (+ 2 beta) alpha))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 19 / 292 ] 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 / 292 ] 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 / 292 ] 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 / 292 ] 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 / 292 ] 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 / 292 ] 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 / 292 ] 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 (73 enodes)
* * [misc]simplify:  iters left: 2 (91 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (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)))) (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (/ (+ (+ alpha beta) (* 2 1)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 26 / 292 ] 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 (95 enodes)
* * [misc]simplify:  iters left: 1 (107 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (/ (+ (+ alpha beta) (* 2 1)) (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 27 / 292 ] 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 / 292 ] 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 (29 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (254 enodes)
* [exit]simplify:  Simplified to (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 alpha) beta)))
* [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))) (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 alpha) beta)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 29 / 292 ] 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 (14 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (29 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 / 292 ] 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 / 292 ] 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 (460 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 / 292 ] 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 / 292 ] 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 (213 enodes)
* * [misc]simplify:  iters left: 2 (406 enodes)
* [exit]simplify:  Simplified to (- (- (log (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (+ (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 (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (+ (log (+ (+ alpha 2) (+ beta 1.0))) (log (+ (+ beta 2) alpha)))) (log (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 34 / 292 ] 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 (194 enodes)
* * [misc]simplify:  iters left: 2 (402 enodes)
* [exit]simplify:  Simplified to (- (- (log (+ (+ (+ 1.0 beta) (* alpha beta)) alpha)) (+ (log (+ 2 (+ beta alpha))) (log (+ (+ 2 beta) (+ 1.0 alpha))))) (log (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (exp (- (- (log (+ (+ (+ 1.0 beta) (* alpha beta)) alpha)) (+ (log (+ 2 (+ beta alpha))) (log (+ (+ 2 beta) (+ 1.0 alpha))))) (log (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 35 / 292 ] 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 (101 enodes)
* * [misc]simplify:  iters left: 3 (273 enodes)
* [exit]simplify:  Simplified to (- (log (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (log (+ (+ beta alpha) (+ 1.0 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (exp (- (log (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (log (+ (+ beta alpha) (+ 1.0 2))))))
* * * * [misc]progress:  [ 36 / 292 ] 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 / 292 ] 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 / 292 ] 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 (/ (* (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ alpha (+ 2 beta))) (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ alpha (+ 2 beta)))) (/ (* (pow (+ alpha (+ 2 beta)) 3) (pow (+ (+ 1.0 2) (+ beta alpha)) 3)) (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (cbrt (/ (* (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ alpha (+ 2 beta))) (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ alpha (+ 2 beta)))) (/ (* (pow (+ alpha (+ 2 beta)) 3) (pow (+ (+ 1.0 2) (+ beta alpha)) 3)) (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ alpha (+ 2 beta)))))))
* * * * [misc]progress:  [ 39 / 292 ] 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 (447 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ alpha 2) beta)) (* (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 1.0 alpha) (+ 2 beta))) (* (+ (+ alpha 2) beta) (+ (+ 1.0 alpha) (+ 2 beta))))) (* (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta))) (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (cbrt (* (/ (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ alpha 2) beta)) (* (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 1.0 alpha) (+ 2 beta))) (* (+ (+ alpha 2) beta) (+ (+ 1.0 alpha) (+ 2 beta))))) (* (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta))) (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 40 / 292 ] 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 (283 enodes)
* [exit]simplify:  Simplified to (pow (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ (+ 1.0 2) (+ beta alpha))) (* (+ alpha (+ 2 beta)) (+ alpha (+ 2 beta)))) 3)
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (cbrt (pow (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ (+ 1.0 2) (+ beta alpha))) (* (+ alpha (+ 2 beta)) (+ alpha (+ 2 beta)))) 3)))
* * * * [misc]progress:  [ 41 / 292 ] 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 / 292 ] 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 / 292 ] 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 / 292 ] 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 / 292 ] 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 (104 enodes)
* * [misc]simplify:  iters left: 3 (249 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (* (+ 2 (+ beta alpha)) (+ 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)) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))))
* * * * [misc]progress:  [ 46 / 292 ] 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 (92 enodes)
* * [misc]simplify:  iters left: 3 (241 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ (+ 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 (87 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha))))) (/ (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* * * * [misc]progress:  [ 47 / 292 ] 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 (81 enodes)
* * [misc]simplify:  iters left: 3 (213 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ (+ 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 (86 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (+ (+ 1.0 2) (+ beta alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha))))) (/ (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (+ (+ 1.0 2) (+ beta alpha)))))
* * * * [misc]progress:  [ 48 / 292 ] 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 (90 enodes)
* * [misc]simplify:  iters left: 3 (239 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 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 (* alpha beta)) (+ 1.0 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 (87 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))))
* * * * [misc]progress:  [ 49 / 292 ] 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 (87 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (* (+ 2 (+ beta alpha)) (+ 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)) (+ 2 (+ beta 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (* (+ 2 (+ beta alpha)) (+ 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)) (+ 2 (+ beta alpha))))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* * * * [misc]progress:  [ 50 / 292 ] 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 (74 enodes)
* * [misc]simplify:  iters left: 3 (206 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))) (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (+ (+ 1.0 2) (+ beta alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))) (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (+ (+ 1.0 2) (+ beta alpha)))))
* * * * [misc]progress:  [ 51 / 292 ] 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 (232 enodes)
* * [misc]simplify:  iters left: 2 (370 enodes)
* * [misc]simplify:  iters left: 1 (446 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (+ beta (+ alpha 2)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (cbrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (+ beta (+ alpha 2)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (+ beta (+ alpha 2)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (cbrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (+ beta (+ alpha 2)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))) (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (151 enodes)
* * [misc]simplify:  iters left: 1 (166 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (+ beta (+ alpha 2)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (cbrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (+ beta (+ alpha 2)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))) (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 52 / 292 ] 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 (177 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 (123 enodes)
* * [misc]simplify:  iters left: 2 (151 enodes)
* * [misc]simplify:  iters left: 1 (166 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (/ (+ (+ (* 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 (* alpha beta)) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 53 / 292 ] 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 (150 enodes)
* * [misc]simplify:  iters left: 2 (364 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha)))) (/ (cbrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha)))) (/ (cbrt (/ (+ (+ beta 1.0) (+ (* alpha beta) 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)))) (+ (+ (+ 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 (161 enodes)
* * [misc]simplify:  iters left: 2 (274 enodes)
* * [misc]simplify:  iters left: 1 (317 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta))) (* (+ (+ beta alpha) (+ 1.0 2)) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha)))) (/ (cbrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))) (/ (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta))) (* (+ (+ beta alpha) (+ 1.0 2)) (cbrt (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 54 / 292 ] 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 (171 enodes)
* * [misc]simplify:  iters left: 2 (239 enodes)
* * [misc]simplify:  iters left: 1 (274 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ 2 (+ beta alpha)))) (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ 2 (+ beta alpha))))) (* (sqrt (+ 2 (+ beta alpha))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ 2 (+ beta alpha)))) (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ 2 (+ beta alpha))))) (* (sqrt (+ 2 (+ beta alpha))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 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)))) (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 (123 enodes)
* * [misc]simplify:  iters left: 2 (151 enodes)
* * [misc]simplify:  iters left: 1 (166 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ 2 (+ beta alpha)))) (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ 2 (+ beta alpha))))) (* (sqrt (+ 2 (+ beta alpha))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 55 / 292 ] 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 (140 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* * [misc]simplify:  iters left: 1 (194 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ 2 beta) alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ 2 beta) alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ 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 (123 enodes)
* * [misc]simplify:  iters left: 2 (151 enodes)
* * [misc]simplify:  iters left: 1 (166 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ 2 beta) alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha)))) (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 56 / 292 ] 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 (237 enodes)
* * [misc]simplify:  iters left: 1 (354 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (+ 2 (+ beta alpha)))) (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)))) (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)))) (+ (+ (+ 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 (161 enodes)
* * [misc]simplify:  iters left: 2 (274 enodes)
* * [misc]simplify:  iters left: 1 (317 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta))) (* (+ (+ beta alpha) (+ 1.0 2)) (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (+ 2 (+ beta alpha)))) (cbrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha)))) (/ (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta))) (* (+ (+ beta alpha) (+ 1.0 2)) (sqrt (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 57 / 292 ] 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 (191 enodes)
* * [misc]simplify:  iters left: 2 (329 enodes)
* * [misc]simplify:  iters left: 1 (387 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ beta (+ alpha 2)))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ beta (+ alpha 2)))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ beta (+ alpha 2)))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ beta (+ alpha 2)))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (157 enodes)
* * [misc]simplify:  iters left: 2 (190 enodes)
* * [misc]simplify:  iters left: 1 (205 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ beta (+ alpha 2)))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ beta (+ alpha 2)))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (cbrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))))
* * * * [misc]progress:  [ 58 / 292 ] 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 (157 enodes)
* * [misc]simplify:  iters left: 2 (246 enodes)
* * [misc]simplify:  iters left: 1 (264 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha))) (/ (sqrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha))) (/ (sqrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha))))) (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (157 enodes)
* * [misc]simplify:  iters left: 2 (190 enodes)
* * [misc]simplify:  iters left: 1 (205 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha))) (/ (sqrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha))))) (/ (cbrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))))
* * * * [misc]progress:  [ 59 / 292 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) 1) 1) (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) 1) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (128 enodes)
* * [misc]simplify:  iters left: 1 (141 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 (369 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 / 292 ] 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 (146 enodes)
* * [misc]simplify:  iters left: 2 (191 enodes)
* * [misc]simplify:  iters left: 1 (206 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ 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 beta) (+ beta 1.0)) alpha) (+ 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 (123 enodes)
* * [misc]simplify:  iters left: 2 (151 enodes)
* * [misc]simplify:  iters left: 1 (166 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ 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 (* alpha beta)) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 61 / 292 ] 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 (132 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (+ beta (+ alpha 2)))) (* (cbrt (+ beta (+ alpha 2))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (+ beta (+ alpha 2)))) (* (cbrt (+ beta (+ alpha 2))) (* (sqrt (+ (+ beta 1.0) (+ 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (151 enodes)
* * [misc]simplify:  iters left: 1 (166 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (+ beta (+ alpha 2)))) (* (cbrt (+ beta (+ alpha 2))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))) (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 62 / 292 ] 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 (100 enodes)
* * [misc]simplify:  iters left: 2 (125 enodes)
* * [misc]simplify:  iters left: 1 (137 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 (161 enodes)
* * [misc]simplify:  iters left: 2 (274 enodes)
* * [misc]simplify:  iters left: 1 (317 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta))) (* (+ (+ beta alpha) (+ 1.0 2)) (cbrt (+ (+ alpha 2) beta))))
* [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 (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta))) (* (+ (+ beta alpha) (+ 1.0 2)) (cbrt (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 63 / 292 ] 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 (134 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (+ beta (+ alpha 2)))) (* (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (+ beta (+ alpha 2)))) (* (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (151 enodes)
* * [misc]simplify:  iters left: 1 (166 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (+ beta (+ alpha 2)))) (* (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 64 / 292 ] 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 (123 enodes)
* * [misc]simplify:  iters left: 2 (151 enodes)
* * [misc]simplify:  iters left: 1 (166 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (151 enodes)
* * [misc]simplify:  iters left: 1 (166 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 65 / 292 ] 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 (115 enodes)
* * [misc]simplify:  iters left: 1 (128 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 (161 enodes)
* * [misc]simplify:  iters left: 2 (274 enodes)
* * [misc]simplify:  iters left: 1 (317 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta))) (* (+ (+ beta alpha) (+ 1.0 2)) (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))) (/ (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta))) (* (+ (+ beta alpha) (+ 1.0 2)) (sqrt (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 66 / 292 ] 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 (139 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (157 enodes)
* * [misc]simplify:  iters left: 2 (190 enodes)
* * [misc]simplify:  iters left: 1 (205 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (sqrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))))
* * * * [misc]progress:  [ 67 / 292 ] 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 (120 enodes)
* * [misc]simplify:  iters left: 2 (147 enodes)
* * [misc]simplify:  iters left: 1 (164 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ alpha 2) beta))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ alpha 2) beta))) (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 (157 enodes)
* * [misc]simplify:  iters left: 2 (190 enodes)
* * [misc]simplify:  iters left: 1 (205 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ alpha 2) beta))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (sqrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))))
* * * * [misc]progress:  [ 68 / 292 ] 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 (56 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (121 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))) (/ (/ (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 (369 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))) (+ (+ alpha 2) beta))) (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (+ 2 beta) alpha))) (* (+ (+ 1.0 2) (+ beta alpha)) (+ (+ 2 beta) alpha)))))
* * * * [misc]progress:  [ 69 / 292 ] 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 (301 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (+ (+ alpha 2) beta)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (164 enodes)
* * [misc]simplify:  iters left: 1 (179 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 (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (+ (+ alpha 2) beta)))) (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * * * [misc]progress:  [ 70 / 292 ] 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 (250 enodes)
* * [misc]simplify:  iters left: 2 (428 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (+ alpha (+ 2 beta))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 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)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (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 (128 enodes)
* * [misc]simplify:  iters left: 2 (164 enodes)
* * [misc]simplify:  iters left: 1 (179 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) (+ 1.0 alpha)) beta)) (+ alpha (+ 2 beta))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (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 / 292 ] 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 (244 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (+ beta (+ alpha 2)) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (+ 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 (176 enodes)
* * [misc]simplify:  iters left: 2 (298 enodes)
* * [misc]simplify:  iters left: 1 (456 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (+ 1.0 (+ 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))))) (* (+ beta (+ alpha 2)) (cbrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (+ 1.0 (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 72 / 292 ] 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 (277 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (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 (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (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 (136 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))))) (sqrt (+ alpha (+ 2 beta)))) (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (cbrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 73 / 292 ] 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 (230 enodes)
* * [misc]simplify:  iters left: 2 (388 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) (+ beta 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) (* 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 (136 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (cbrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 74 / 292 ] 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 (202 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (+ beta (+ alpha 2)))) (/ (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ beta (+ alpha 2)))) (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (+ beta (+ alpha 2)))) (/ (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ beta (+ alpha 2)))) (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))))) (/ (/ (/ (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 (178 enodes)
* * [misc]simplify:  iters left: 2 (304 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (cbrt (+ 2 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (+ (+ beta 2) (+ 1.0 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))) (sqrt (+ beta (+ alpha 2)))) (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))))) (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (cbrt (+ 2 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (+ (+ beta 2) (+ 1.0 alpha))))))
* * * * [misc]progress:  [ 75 / 292 ] 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 (301 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ alpha 2) (+ beta 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) (* 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 (96 enodes)
* * [misc]simplify:  iters left: 3 (197 enodes)
* * [misc]simplify:  iters left: 2 (312 enodes)
* * [misc]simplify:  iters left: 1 (441 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * * * [misc]progress:  [ 76 / 292 ] 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 (239 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (* (* (cbrt (+ alpha (+ 2 beta))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (cbrt (+ 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))) (* (* (cbrt (+ alpha (+ 2 beta))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (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 (96 enodes)
* * [misc]simplify:  iters left: 3 (197 enodes)
* * [misc]simplify:  iters left: 2 (312 enodes)
* * [misc]simplify:  iters left: 1 (441 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (* (* (cbrt (+ alpha (+ 2 beta))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (cbrt (+ alpha (+ 2 beta))))) (/ (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * * * [misc]progress:  [ 77 / 292 ] 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 (150 enodes)
* * [misc]simplify:  iters left: 2 (367 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ beta (+ alpha 2))))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (406 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (* (* (+ 2 (+ beta alpha)) (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (* (* (+ 2 (+ beta alpha)) (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 78 / 292 ] 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 (252 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (+ alpha (+ 2 beta))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (+ alpha (+ 2 beta))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (+ 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 (136 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (+ alpha (+ 2 beta))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (+ alpha (+ 2 beta)))))) (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (sqrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 79 / 292 ] 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 (361 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))) (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)) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ (* alpha beta) alpha) (+ beta 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)) (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 (136 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))))) (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (sqrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 80 / 292 ] 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 (485 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ beta (* alpha 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 (178 enodes)
* * [misc]simplify:  iters left: 2 (304 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (+ (+ beta 2) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (+ (+ beta 2) (+ 1.0 alpha))))))
* * * * [misc]progress:  [ 81 / 292 ] 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 (181 enodes)
* * [misc]simplify:  iters left: 2 (326 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ beta (+ alpha 2)))))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (213 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ beta (+ alpha 2)))))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))))
* * * * [misc]progress:  [ 82 / 292 ] 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 (154 enodes)
* * [misc]simplify:  iters left: 2 (239 enodes)
* * [misc]simplify:  iters left: 1 (290 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (+ (+ alpha 2) beta)) (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (+ (+ alpha 2) beta)) (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ beta 1.0) (+ 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 (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 (213 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (+ (+ alpha 2) beta)) (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))))
* * * * [misc]progress:  [ 83 / 292 ] 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 (135 enodes)
* * [misc]simplify:  iters left: 2 (249 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 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))) (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (+ (+ 2 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)))) (+ (+ (+ 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 (177 enodes)
* * [misc]simplify:  iters left: 2 (324 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (+ (+ beta alpha) (+ 1.0 2)) (+ 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)))) (+ (+ 2 beta) alpha)) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (+ (+ beta alpha) (+ 1.0 2)) (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 84 / 292 ] 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 (220 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (* (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ alpha (+ 2 beta)))))
* [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 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ alpha (+ 2 beta))))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (197 enodes)
* * [misc]simplify:  iters left: 2 (312 enodes)
* * [misc]simplify:  iters left: 1 (441 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))
* [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 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ alpha (+ 2 beta))))) (/ (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * * * [misc]progress:  [ 85 / 292 ] 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 (179 enodes)
* * [misc]simplify:  iters left: 2 (350 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 beta) (+ (* alpha beta) alpha))) (sqrt (+ (+ 2 beta) alpha))) (/ (sqrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ 1.0 beta) (+ (* alpha beta) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ 1.0 beta) (+ (* alpha beta) alpha))) (sqrt (+ (+ 2 beta) alpha))) (/ (sqrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ 1.0 beta) (+ (* alpha beta) alpha))))) (/ (/ (/ (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 (96 enodes)
* * [misc]simplify:  iters left: 3 (197 enodes)
* * [misc]simplify:  iters left: 2 (312 enodes)
* * [misc]simplify:  iters left: 1 (441 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ 1.0 beta) (+ (* alpha beta) alpha))) (sqrt (+ (+ 2 beta) alpha))) (/ (sqrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ 1.0 beta) (+ (* alpha beta) alpha))))) (/ (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * * * [misc]progress:  [ 86 / 292 ] 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 (242 enodes)
* * [misc]simplify:  iters left: 1 (360 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta)))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta)))) (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 (406 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (* (* (+ 2 (+ beta alpha)) (+ (+ 1.0 alpha) (+ beta 2))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta)))) (sqrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (* (* (+ 2 (+ beta alpha)) (+ (+ 1.0 alpha) (+ beta 2))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 87 / 292 ] 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 (278 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (* (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 (96 enodes)
* * [misc]simplify:  iters left: 3 (173 enodes)
* * [misc]simplify:  iters left: 2 (298 enodes)
* * [misc]simplify:  iters left: 1 (409 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 88 / 292 ] 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 (238 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta))) (* (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ alpha (+ 2 beta)))) (cbrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta))) (* (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ alpha (+ 2 beta)))) (cbrt (+ alpha (+ 2 beta))))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (173 enodes)
* * [misc]simplify:  iters left: 2 (298 enodes)
* * [misc]simplify:  iters left: 1 (409 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta))) (* (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ alpha (+ 2 beta)))) (cbrt (+ alpha (+ 2 beta))))) (/ (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 89 / 292 ] 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 (388 enodes)
* * [misc]simplify:  iters left: 1 (456 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)))) (/ (/ (/ (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 (95 enodes)
* * [misc]simplify:  iters left: 3 (209 enodes)
* * [misc]simplify:  iters left: 2 (431 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (* (* (+ 2 (+ beta alpha)) (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 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) beta) (+ 1.0 alpha))) (* (* (+ 2 (+ beta alpha)) (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 90 / 292 ] 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 (220 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha)))) (* (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ alpha (+ 2 beta)))))
* [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 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ alpha (+ 2 beta))))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (173 enodes)
* * [misc]simplify:  iters left: 2 (298 enodes)
* * [misc]simplify:  iters left: 1 (409 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))
* [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 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ alpha (+ 2 beta))))) (/ (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 91 / 292 ] 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 (194 enodes)
* * [misc]simplify:  iters left: 2 (401 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 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)) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 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 (96 enodes)
* * [misc]simplify:  iters left: 3 (173 enodes)
* * [misc]simplify:  iters left: 2 (298 enodes)
* * [misc]simplify:  iters left: 1 (409 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 beta) (+ alpha 2)))))) (/ (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 92 / 292 ] 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 (145 enodes)
* * [misc]simplify:  iters left: 2 (271 enodes)
* * [misc]simplify:  iters left: 1 (288 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (+ beta (+ 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 (+ beta (+ alpha 2)))) (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (/ (/ (/ (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 (95 enodes)
* * [misc]simplify:  iters left: 3 (209 enodes)
* * [misc]simplify:  iters left: 2 (431 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (* (* (+ 2 (+ beta alpha)) (+ (+ 1.0 alpha) (+ beta 2))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (+ beta (+ alpha 2)))) (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (* (* (+ 2 (+ beta alpha)) (+ (+ 1.0 alpha) (+ beta 2))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 93 / 292 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (191 enodes)
* * [misc]simplify:  iters left: 2 (335 enodes)
* * [misc]simplify:  iters left: 1 (381 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (289 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 94 / 292 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (157 enodes)
* * [misc]simplify:  iters left: 2 (252 enodes)
* * [misc]simplify:  iters left: 1 (268 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (/ (sqrt (+ (+ beta 1.0) (+ 2 alpha))) (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (/ (sqrt (+ (+ beta 1.0) (+ 2 alpha))) (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (289 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (/ (sqrt (+ (+ beta 1.0) (+ 2 alpha))) (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))))) (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 95 / 292 ] 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 (52 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ 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 (108 enodes)
* * [misc]simplify:  iters left: 3 (471 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (* (* (+ (+ 1.0 2) (+ beta alpha)) (+ (+ alpha 2) beta)) (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (* (* (+ (+ 1.0 2) (+ beta alpha)) (+ (+ alpha 2) beta)) (+ (+ alpha 2) beta)))))
* * * * [misc]progress:  [ 96 / 292 ] 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 (180 enodes)
* * [misc]simplify:  iters left: 2 (260 enodes)
* * [misc]simplify:  iters left: 1 (442 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (+ alpha (+ beta 2)))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (+ alpha (+ beta 2)))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ beta 1.0) (+ alpha 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 (128 enodes)
* * [misc]simplify:  iters left: 2 (164 enodes)
* * [misc]simplify:  iters left: 1 (179 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) (+ alpha (+ beta 1.0)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (+ alpha (+ beta 2)))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ beta 1.0) (+ alpha 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 / 292 ] 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 (200 enodes)
* * [misc]simplify:  iters left: 1 (294 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (+ beta (+ alpha 2))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (164 enodes)
* * [misc]simplify:  iters left: 1 (179 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 (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (+ beta (+ alpha 2))) (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * * * [misc]progress:  [ 98 / 292 ] 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 (177 enodes)
* * [misc]simplify:  iters left: 1 (243 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 (176 enodes)
* * [misc]simplify:  iters left: 2 (298 enodes)
* * [misc]simplify:  iters left: 1 (456 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (+ 1.0 (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (* (cbrt (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (+ 1.0 (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 99 / 292 ] 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 (332 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)))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ 2 (+ beta alpha)))) (* (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))))) (/ (/ (/ (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 (136 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ 2 (+ beta alpha)))) (* (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))))) (/ (sqrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (cbrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 100 / 292 ] 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 (144 enodes)
* * [misc]simplify:  iters left: 2 (201 enodes)
* * [misc]simplify:  iters left: 1 (229 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta alpha) (+ (* alpha beta) 1.0))) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ alpha (+ beta 2))))) (* (sqrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta alpha) (+ (* alpha beta) 1.0))) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ alpha (+ beta 2))))) (* (sqrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2))))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (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 (136 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta alpha) (+ (* alpha beta) 1.0))) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ alpha (+ beta 2))))) (* (sqrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2))))) (/ (sqrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (cbrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 101 / 292 ] 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 (120 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (sqrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (sqrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (178 enodes)
* * [misc]simplify:  iters left: 2 (304 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (cbrt (+ 2 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (+ (+ beta 2) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (sqrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (cbrt (+ 2 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (+ (+ beta 2) (+ 1.0 alpha))))))
* * * * [misc]progress:  [ 102 / 292 ] 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 (168 enodes)
* * [misc]simplify:  iters left: 2 (231 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 (96 enodes)
* * [misc]simplify:  iters left: 3 (197 enodes)
* * [misc]simplify:  iters left: 2 (312 enodes)
* * [misc]simplify:  iters left: 1 (441 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))
* [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 (+ (+ alpha 2) (+ beta 1.0)))))))
* * * * [misc]progress:  [ 103 / 292 ] 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 (137 enodes)
* * [misc]simplify:  iters left: 2 (180 enodes)
* * [misc]simplify:  iters left: 1 (202 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (* (cbrt (+ 2 (+ beta alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (* (cbrt (+ 2 (+ beta alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (+ 2 (+ beta alpha)))) (/ (/ (/ (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 (96 enodes)
* * [misc]simplify:  iters left: 3 (197 enodes)
* * [misc]simplify:  iters left: 2 (312 enodes)
* * [misc]simplify:  iters left: 1 (441 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (* (cbrt (+ 2 (+ beta alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (+ 2 (+ beta alpha)))) (/ (/ (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * * * [misc]progress:  [ 104 / 292 ] 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 (100 enodes)
* * [misc]simplify:  iters left: 2 (125 enodes)
* * [misc]simplify:  iters left: 1 (137 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 (406 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (* (* (+ 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 (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (* (* (+ 2 (+ beta alpha)) (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 105 / 292 ] 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 (342 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (* (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)))) (sqrt (+ 2 (+ beta alpha)))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (* (cbrt (+ 2 (+ beta 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 (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 (176 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (sqrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (sqrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 106 / 292 ] 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 (148 enodes)
* * [misc]simplify:  iters left: 2 (197 enodes)
* * [misc]simplify:  iters left: 1 (233 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (+ alpha (+ beta 2))) (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 (* alpha beta)) (+ beta 1.0))) (* (sqrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2))))) (* (cbrt (+ alpha (+ beta 2))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (136 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2))))) (* (cbrt (+ alpha (+ beta 2))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (sqrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (sqrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 107 / 292 ] 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 (122 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (174 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (178 enodes)
* * [misc]simplify:  iters left: 2 (304 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (+ (+ beta 2) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (+ (+ beta 2) (+ 1.0 alpha))))))
* * * * [misc]progress:  [ 108 / 292 ] 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 (139 enodes)
* * [misc]simplify:  iters left: 2 (212 enodes)
* * [misc]simplify:  iters left: 1 (284 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (+ 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) (+ (+ 1.0 alpha) beta))) (+ 2 (+ beta alpha))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (213 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (+ 2 (+ beta alpha))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))))
* * * * [misc]progress:  [ 109 / 292 ] 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 (213 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (+ (+ 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 (213 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))))
* * * * [misc]progress:  [ 110 / 292 ] 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 (98 enodes)
* * [misc]simplify:  iters left: 2 (140 enodes)
* * [misc]simplify:  iters left: 1 (149 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 (177 enodes)
* * [misc]simplify:  iters left: 2 (324 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (+ (+ beta alpha) (+ 1.0 2)) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (+ (+ beta alpha) (+ 1.0 2)) (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 111 / 292 ] 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 (154 enodes)
* * [misc]simplify:  iters left: 2 (204 enodes)
* * [misc]simplify:  iters left: 1 (225 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha 2) (+ beta 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)))) (+ (+ 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 (96 enodes)
* * [misc]simplify:  iters left: 3 (197 enodes)
* * [misc]simplify:  iters left: 2 (312 enodes)
* * [misc]simplify:  iters left: 1 (441 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) alpha))) (* (+ (+ 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 (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (/ (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * * * [misc]progress:  [ 112 / 292 ] 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 (133 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (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 (96 enodes)
* * [misc]simplify:  iters left: 3 (197 enodes)
* * [misc]simplify:  iters left: 2 (312 enodes)
* * [misc]simplify:  iters left: 1 (441 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * * * [misc]progress:  [ 113 / 292 ] 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 (115 enodes)
* * [misc]simplify:  iters left: 1 (128 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 (406 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (* (* (+ 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 (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (* (* (+ 2 (+ beta alpha)) (+ (+ 1.0 alpha) (+ beta 2))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 114 / 292 ] 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 (172 enodes)
* * [misc]simplify:  iters left: 2 (274 enodes)
* * [misc]simplify:  iters left: 1 (315 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (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 (38 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (173 enodes)
* * [misc]simplify:  iters left: 2 (298 enodes)
* * [misc]simplify:  iters left: 1 (409 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 115 / 292 ] 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 (149 enodes)
* * [misc]simplify:  iters left: 2 (192 enodes)
* * [misc]simplify:  iters left: 1 (208 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ (+ alpha 2) (+ 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)))) (sqrt (+ (+ alpha 2) (+ 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)))) (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 (96 enodes)
* * [misc]simplify:  iters left: 3 (173 enodes)
* * [misc]simplify:  iters left: 2 (298 enodes)
* * [misc]simplify:  iters left: 1 (409 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 116 / 292 ] 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 (140 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (* (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 (95 enodes)
* * [misc]simplify:  iters left: 3 (209 enodes)
* * [misc]simplify:  iters left: 2 (431 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (* (* (+ 2 (+ beta alpha)) (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (* (* (+ 2 (+ beta alpha)) (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 117 / 292 ] 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 (142 enodes)
* * [misc]simplify:  iters left: 2 (198 enodes)
* * [misc]simplify:  iters left: 1 (220 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (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) (* (/ (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ (+ 1.0 alpha) (+ beta 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 (96 enodes)
* * [misc]simplify:  iters left: 3 (173 enodes)
* * [misc]simplify:  iters left: 2 (298 enodes)
* * [misc]simplify:  iters left: 1 (409 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 118 / 292 ] 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 (135 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (sqrt (+ (+ alpha 2) (+ beta 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 (96 enodes)
* * [misc]simplify:  iters left: 3 (173 enodes)
* * [misc]simplify:  iters left: 2 (298 enodes)
* * [misc]simplify:  iters left: 1 (409 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 119 / 292 ] 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 (+ (+ (+ 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)) (+ (+ 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 (95 enodes)
* * [misc]simplify:  iters left: 3 (209 enodes)
* * [misc]simplify:  iters left: 2 (431 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (* (* (+ 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) beta) (+ 1.0 alpha))) (* (* (+ 2 (+ beta alpha)) (+ (+ 1.0 alpha) (+ beta 2))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 120 / 292 ] 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 (135 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* 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) (* (/ (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (289 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 121 / 292 ] 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 (121 enodes)
* * [misc]simplify:  iters left: 2 (148 enodes)
* * [misc]simplify:  iters left: 1 (164 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ 1.0 (+ beta 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 (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 122 / 292 ] 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 (+ (* alpha beta) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (sqrt (+ alpha (+ (* alpha beta) (+ 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 (108 enodes)
* * [misc]simplify:  iters left: 3 (471 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (* (* (+ (+ 1.0 2) (+ beta alpha)) (+ (+ alpha 2) beta)) (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (sqrt (+ alpha (+ (* alpha beta) (+ beta 1.0)))) (/ (sqrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (* (* (+ (+ 1.0 2) (+ beta alpha)) (+ (+ alpha 2) beta)) (+ (+ alpha 2) beta)))))
* * * * [misc]progress:  [ 123 / 292 ] 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 (198 enodes)
* * [misc]simplify:  iters left: 1 (364 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 (175 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [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))))) (/ (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 124 / 292 ] 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 (98 enodes)
* * [misc]simplify:  iters left: 2 (136 enodes)
* * [misc]simplify:  iters left: 1 (217 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 (175 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (* (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))) (sqrt (+ (+ alpha beta) (+ 2 1.0)))) (/ (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 125 / 292 ] 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 (97 enodes)
* * [misc]simplify:  iters left: 1 (147 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 (172 enodes)
* * [misc]simplify:  iters left: 2 (301 enodes)
* * [misc]simplify:  iters left: 1 (452 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (cbrt (+ (+ 2 beta) alpha))) (* (+ (+ 1.0 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) (+ alpha (+ beta 1.0))) (cbrt (+ (+ 2 beta) alpha))) (* (+ (+ 1.0 2) (+ beta alpha)) (cbrt (+ (+ 2 beta) alpha))))))
* * * * [misc]progress:  [ 126 / 292 ] 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 (119 enodes)
* * [misc]simplify:  iters left: 2 (192 enodes)
* * [misc]simplify:  iters left: 1 (250 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 (133 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (194 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (* (cbrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (* (cbrt (+ (+ alpha beta) (+ 1.0 2))) (cbrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) (+ 1.0 2))) (cbrt (+ (+ alpha beta) 2))))) (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (* (cbrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ 2 beta) alpha))))))
* * * * [misc]progress:  [ 127 / 292 ] 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 (150 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ 1 (* (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (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)))) (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 (133 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (194 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (* (cbrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (* (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))))) (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (* (cbrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ 2 beta) alpha))))))
* * * * [misc]progress:  [ 128 / 292 ] 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 (85 enodes)
* * [misc]simplify:  iters left: 1 (94 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 (312 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (cbrt (+ 2 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (+ (+ beta alpha) (+ 1.0 2))))
* [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) (cbrt (+ 2 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (+ (+ beta alpha) (+ 1.0 2))))))
* * * * [misc]progress:  [ 129 / 292 ] 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 (165 enodes)
* * [misc]simplify:  iters left: 1 (190 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 (315 enodes)
* * [misc]simplify:  iters left: 1 (444 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (cbrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))
* [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) beta) (+ 1.0 alpha)) (cbrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))))
* * * * [misc]progress:  [ 130 / 292 ] 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 (315 enodes)
* * [misc]simplify:  iters left: 1 (444 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (cbrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))
* [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) beta) (+ 1.0 alpha)) (cbrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))))
* * * * [misc]progress:  [ 131 / 292 ] 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 (395 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 / 292 ] 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 (129 enodes)
* * [misc]simplify:  iters left: 2 (195 enodes)
* * [misc]simplify:  iters left: 1 (266 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 (133 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (194 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (* (cbrt (+ (+ alpha beta) (+ 1.0 2))) (cbrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) (+ 1.0 2))) (cbrt (+ (+ alpha beta) 2))))) (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))))
* * * * [misc]progress:  [ 133 / 292 ] 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 (sqrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (/ 1 (sqrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (/ (/ (/ (+ (+ (+ 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 (133 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (194 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ 1 (sqrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))))
* * * * [misc]progress:  [ 134 / 292 ] 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 (79 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 (312 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (+ (+ beta alpha) (+ 1.0 2))))
* [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) (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (+ (+ beta alpha) (+ 1.0 2))))))
* * * * [misc]progress:  [ 135 / 292 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (146 enodes)
* * [misc]simplify:  iters left: 1 (204 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (+ (+ alpha beta) (+ 1.0 2)))) (* (cbrt (+ (+ alpha beta) (+ 1.0 2))) (+ (+ 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))) (+ (+ alpha 2) beta))) (/ (/ (/ (+ (+ (+ 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 (131 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (211 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (cbrt (+ (+ alpha beta) (+ 1.0 2)))) (* (cbrt (+ (+ alpha beta) (+ 1.0 2))) (+ (+ alpha 2) beta))) (/ (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (+ 2 (+ beta alpha)))))
* * * * [misc]progress:  [ 136 / 292 ] 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 (80 enodes)
* * [misc]simplify:  iters left: 2 (120 enodes)
* * [misc]simplify:  iters left: 1 (132 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 (131 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (211 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (/ (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (+ 2 (+ beta alpha)))))
* * * * [misc]progress:  [ 137 / 292 ] 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 (38 enodes)
* * [misc]simplify:  iters left: 2 (63 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 (325 enodes)
* [exit]simplify:  Simplified to (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (* (+ (+ 2 beta) alpha) (+ (+ alpha 2) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (+ (+ alpha beta) 2)) (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (* (+ (+ 2 beta) alpha) (+ (+ alpha 2) (+ beta 1.0))))))
* * * * [misc]progress:  [ 138 / 292 ] 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 (134 enodes)
* * [misc]simplify:  iters left: 1 (140 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 (315 enodes)
* * [misc]simplify:  iters left: 1 (444 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (sqrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))
* [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) beta) (+ 1.0 alpha)) (sqrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))))
* * * * [misc]progress:  [ 139 / 292 ] 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 (83 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* * [misc]simplify:  iters left: 1 (100 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ 1 (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ (+ alpha beta) 2)))) (/ (/ (/ (+ (+ (+ 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 (315 enodes)
* * [misc]simplify:  iters left: 1 (444 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (sqrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ (+ alpha beta) 2)))) (/ (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (sqrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))))
* * * * [misc]progress:  [ 140 / 292 ] 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 (395 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 / 292 ] 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 (56 enodes)
* * [misc]simplify:  iters left: 3 (95 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 (177 enodes)
* * [misc]simplify:  iters left: 2 (304 enodes)
* * [misc]simplify:  iters left: 1 (418 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ 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)))))) (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ 2 (+ beta alpha))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 142 / 292 ] 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 (77 enodes)
* * [misc]simplify:  iters left: 2 (98 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 (177 enodes)
* * [misc]simplify:  iters left: 2 (304 enodes)
* * [misc]simplify:  iters left: 1 (418 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ 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)))) (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ 2 (+ beta alpha))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 143 / 292 ] 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 (208 enodes)
* * [misc]simplify:  iters left: 2 (428 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (* (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))))) (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (* (cbrt (+ (+ 2 beta) alpha)) (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 2 beta) alpha))))))
* * * * [misc]progress:  [ 144 / 292 ] 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 (177 enodes)
* * [misc]simplify:  iters left: 2 (304 enodes)
* * [misc]simplify:  iters left: 1 (418 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ 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))))) (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ 2 (+ beta alpha))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 145 / 292 ] 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 (73 enodes)
* * [misc]simplify:  iters left: 2 (84 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 (177 enodes)
* * [misc]simplify:  iters left: 2 (304 enodes)
* * [misc]simplify:  iters left: 1 (418 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ 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))))) (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ 2 (+ beta alpha))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 146 / 292 ] 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 (208 enodes)
* * [misc]simplify:  iters left: 2 (428 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (* (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)))) (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (* (sqrt (+ (+ 2 beta) alpha)) (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 2 beta) alpha))))))
* * * * [misc]progress:  [ 147 / 292 ] 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 (107 enodes)
* * [misc]simplify:  iters left: 3 (285 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (cbrt (+ (+ 2 1.0) (+ alpha beta)))) (cbrt (+ (+ 2 1.0) (+ alpha beta)))) (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * * * [misc]progress:  [ 148 / 292 ] 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 (66 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (+ alpha 1.0) (+ 2 beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ 1 (sqrt (+ (+ alpha 1.0) (+ 2 beta)))) (/ (/ (/ (+ (+ (+ 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 (107 enodes)
* * [misc]simplify:  iters left: 3 (285 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (sqrt (+ (+ alpha 1.0) (+ 2 beta)))) (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * * * [misc]progress:  [ 149 / 292 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ 1 1) 1) 1) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (/ 1 1) 1) 1)
* * [misc]simplify:  iters left: 6 (4 enodes)
* * [misc]simplify:  iters left: 5 (6 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* 1 (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (457 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ 2 (+ beta alpha)) (+ (+ 1.0 alpha) (+ 2 beta)))) (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* 1 (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ 2 (+ beta alpha)) (+ (+ 1.0 alpha) (+ 2 beta)))) (+ 2 (+ beta alpha)))))
* * * * [misc]progress:  [ 150 / 292 ] 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 (177 enodes)
* * [misc]simplify:  iters left: 2 (304 enodes)
* * [misc]simplify:  iters left: 1 (418 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ 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)))) (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ 2 (+ beta alpha))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 151 / 292 ] 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 (79 enodes)
* * [misc]simplify:  iters left: 2 (96 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 (177 enodes)
* * [misc]simplify:  iters left: 2 (304 enodes)
* * [misc]simplify:  iters left: 1 (418 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ 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)))) (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ 2 (+ beta alpha))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 152 / 292 ] 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 (208 enodes)
* * [misc]simplify:  iters left: 2 (428 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (* (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))) (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (* (cbrt (+ (+ 2 beta) alpha)) (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 2 beta) alpha))))))
* * * * [misc]progress:  [ 153 / 292 ] 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 (177 enodes)
* * [misc]simplify:  iters left: 2 (304 enodes)
* * [misc]simplify:  iters left: 1 (418 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ 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))))) (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ 2 (+ beta alpha))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 154 / 292 ] 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 (70 enodes)
* * [misc]simplify:  iters left: 2 (86 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (+ beta 2) alpha))) (sqrt (+ (+ 1.0 beta) (+ alpha 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (+ (+ beta 2) alpha))) (sqrt (+ (+ 1.0 beta) (+ alpha 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 (177 enodes)
* * [misc]simplify:  iters left: 2 (304 enodes)
* * [misc]simplify:  iters left: 1 (418 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ 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 beta) (+ alpha 2)))) (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ 2 (+ beta alpha))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 155 / 292 ] 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 (208 enodes)
* * [misc]simplify:  iters left: 2 (428 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (* (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))) (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (* (sqrt (+ (+ 2 beta) alpha)) (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 2 beta) alpha))))))
* * * * [misc]progress:  [ 156 / 292 ] 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 (65 enodes)
* * [misc]simplify:  iters left: 2 (76 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 (107 enodes)
* * [misc]simplify:  iters left: 3 (285 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (* (cbrt (+ (+ 2 1.0) (+ beta alpha))) (cbrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * * * [misc]progress:  [ 157 / 292 ] 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 (107 enodes)
* * [misc]simplify:  iters left: 3 (285 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (sqrt (+ (+ beta alpha) (+ 2 1.0)))) (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * * * [misc]progress:  [ 158 / 292 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 1) 1) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) 1)
* * [misc]simplify:  iters left: 4 (3 enodes)
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* 1 (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (457 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ 2 (+ beta alpha)) (+ (+ 1.0 alpha) (+ 2 beta)))) (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* 1 (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ 2 (+ beta alpha)) (+ (+ 1.0 alpha) (+ 2 beta)))) (+ 2 (+ beta alpha)))))
* * * * [misc]progress:  [ 159 / 292 ] 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 (186 enodes)
* * [misc]simplify:  iters left: 1 (202 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (* alpha beta) (+ 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) (* (/ (+ (+ (* alpha beta) (+ 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 (65 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (234 enodes)
* * [misc]simplify:  iters left: 1 (329 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) (* (/ (+ (+ (* alpha beta) (+ 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 / 292 ] 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 (176 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (/ (/ 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 (65 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (234 enodes)
* * [misc]simplify:  iters left: 1 (329 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (cbrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (cbrt (+ (+ alpha beta) 2)))))
* * * * [misc]progress:  [ 161 / 292 ] 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 (119 enodes)
* * [misc]simplify:  iters left: 1 (131 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha)))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (156 enodes)
* * [misc]simplify:  iters left: 2 (352 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (* (+ (+ 1.0 beta) (+ alpha 2)) (+ (+ beta 2) alpha))) (cbrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha)))) (/ (/ 1 (* (+ (+ 1.0 beta) (+ alpha 2)) (+ (+ beta 2) alpha))) (cbrt (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 162 / 292 ] 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 (167 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (sqrt (+ 2 (+ beta alpha)))) (* (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 (65 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (234 enodes)
* * [misc]simplify:  iters left: 1 (329 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) (* (/ (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (sqrt (+ 2 (+ beta alpha)))) (* (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 / 292 ] 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 (120 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 (65 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (234 enodes)
* * [misc]simplify:  iters left: 1 (329 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 / 292 ] 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 (112 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (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 (64 enodes)
* * [misc]simplify:  iters left: 3 (156 enodes)
* * [misc]simplify:  iters left: 2 (352 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (* (+ (+ 1.0 beta) (+ alpha 2)) (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (sqrt (+ 2 (+ beta alpha)))) (/ (/ 1 (* (+ (+ 1.0 beta) (+ alpha 2)) (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 165 / 292 ] 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 (138 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (180 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ (+ beta 1.0) 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 (77 enodes)
* * [misc]simplify:  iters left: 3 (237 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (+ (+ beta 2) alpha)) (cbrt (+ (+ 1.0 beta) (+ alpha 2)))) (+ (+ beta 2) alpha))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (/ (/ 1 (+ (+ beta 2) alpha)) (cbrt (+ (+ 1.0 beta) (+ alpha 2)))) (+ (+ beta 2) alpha))))
* * * * [misc]progress:  [ 166 / 292 ] 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 (121 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (165 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 alpha) (+ (* alpha beta) beta)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ 1.0 alpha) (+ (* alpha beta) beta)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (/ (/ 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 (77 enodes)
* * [misc]simplify:  iters left: 3 (237 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (+ (+ beta 2) alpha)) (sqrt (+ (+ 1.0 beta) (+ alpha 2)))) (+ (+ beta 2) alpha))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (+ 1.0 alpha) (+ (* alpha beta) beta)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (/ (/ 1 (+ (+ beta 2) alpha)) (sqrt (+ (+ 1.0 beta) (+ alpha 2)))) (+ (+ beta 2) alpha))))
* * * * [misc]progress:  [ 167 / 292 ] 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 (104 enodes)
* [exit]simplify:  Simplified to (+ alpha (+ (+ beta 1.0) (* alpha beta)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (+ alpha (+ (+ beta 1.0) (* 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))) (+ (+ (+ 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 (76 enodes)
* * [misc]simplify:  iters left: 3 (404 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ alpha beta) 2)) (* (+ (+ alpha 2) (+ 1.0 beta)) (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (+ alpha (+ (+ beta 1.0) (* alpha beta))) (/ (/ 1 (+ (+ alpha beta) 2)) (* (+ (+ alpha 2) (+ 1.0 beta)) (+ (+ alpha beta) 2)))))
* * * * [misc]progress:  [ 168 / 292 ] 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 (57 enodes)
* * [misc]simplify:  iters left: 4 (142 enodes)
* * [misc]simplify:  iters left: 3 (356 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (+ (pow 2 3) (pow (+ beta alpha) 3))) (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (+ (pow 2 3) (pow (+ beta alpha) 3))) (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))))) (/ (/ (+ (* (+ 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 (44 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (354 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 beta) alpha))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (+ (pow 2 3) (pow (+ beta alpha) 3))) (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))))) (/ (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 beta) alpha))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ 2 1.0) (+ beta alpha)))))))
* * * * [misc]progress:  [ 169 / 292 ] 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 (54 enodes)
* * [misc]simplify:  iters left: 4 (132 enodes)
* * [misc]simplify:  iters left: 3 (308 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta))) (* (+ (pow 2 3) (pow (+ beta alpha) 3)) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta))) (* (+ (pow 2 3) (pow (+ beta alpha) 3)) (sqrt (+ (+ beta alpha) (+ 1.0 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 (44 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (354 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 beta) alpha))) (* (cbrt (+ alpha (+ beta 2))) (sqrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta))) (* (+ (pow 2 3) (pow (+ beta alpha) 3)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 beta) alpha))) (* (cbrt (+ alpha (+ beta 2))) (sqrt (+ (+ 2 1.0) (+ beta alpha)))))))
* * * * [misc]progress:  [ 170 / 292 ] 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 (49 enodes)
* * [misc]simplify:  iters left: 4 (120 enodes)
* * [misc]simplify:  iters left: 3 (304 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (cbrt (+ (+ alpha 2) beta))) (* (+ (pow 2 3) (pow (+ beta alpha) 3)) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (cbrt (+ (+ alpha 2) beta))) (* (+ (pow 2 3) (pow (+ beta alpha) 3)) (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 (43 enodes)
* * [misc]simplify:  iters left: 4 (124 enodes)
* * [misc]simplify:  iters left: 3 (395 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 alpha) beta))) (* (+ (+ 1.0 alpha) (+ beta 2)) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (cbrt (+ (+ alpha 2) beta))) (* (+ (pow 2 3) (pow (+ beta alpha) 3)) (cbrt (+ (+ alpha 2) beta)))) (/ (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 alpha) beta))) (* (+ (+ 1.0 alpha) (+ beta 2)) (cbrt (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 171 / 292 ] 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 (54 enodes)
* * [misc]simplify:  iters left: 4 (132 enodes)
* * [misc]simplify:  iters left: 3 (317 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ (pow 2 3) (pow (+ beta alpha) 3))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 1.0 2) (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ (pow 2 3) (pow (+ beta alpha) 3))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 1.0 2) (+ beta alpha)))))) (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (354 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 beta) alpha))) (* (sqrt (+ alpha (+ beta 2))) (cbrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ (pow 2 3) (pow (+ beta alpha) 3))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 1.0 2) (+ beta alpha)))))) (/ (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 beta) alpha))) (* (sqrt (+ alpha (+ beta 2))) (cbrt (+ (+ 2 1.0) (+ beta alpha)))))))
* * * * [misc]progress:  [ 172 / 292 ] 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 (51 enodes)
* * [misc]simplify:  iters left: 4 (124 enodes)
* * [misc]simplify:  iters left: 3 (282 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (sqrt (+ alpha (+ 2 beta)))) (* (+ (pow 2 3) (pow (+ beta alpha) 3)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (sqrt (+ alpha (+ 2 beta)))) (* (+ (pow 2 3) (pow (+ beta alpha) 3)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ (+ (* (+ 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 (44 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (354 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 beta) alpha))) (* (sqrt (+ alpha (+ beta 2))) (sqrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (sqrt (+ alpha (+ 2 beta)))) (* (+ (pow 2 3) (pow (+ beta alpha) 3)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 beta) alpha))) (* (sqrt (+ alpha (+ beta 2))) (sqrt (+ (+ 2 1.0) (+ beta alpha)))))))
* * * * [misc]progress:  [ 173 / 292 ] 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 (46 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (281 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ alpha (+ 2 beta)))) (+ (pow 2 3) (pow (+ beta alpha) 3)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ alpha (+ 2 beta)))) (+ (pow 2 3) (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)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (124 enodes)
* * [misc]simplify:  iters left: 3 (395 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 alpha) beta))) (* (+ (+ 1.0 alpha) (+ beta 2)) (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ alpha (+ 2 beta)))) (+ (pow 2 3) (pow (+ beta alpha) 3))) (/ (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 alpha) beta))) (* (+ (+ 1.0 alpha) (+ beta 2)) (sqrt (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 174 / 292 ] 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 (53 enodes)
* * [misc]simplify:  iters left: 4 (129 enodes)
* * [misc]simplify:  iters left: 3 (301 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ (pow 2 3) (pow (+ beta alpha) 3))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ (pow 2 3) (pow (+ beta alpha) 3))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ (+ (* (+ 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 (43 enodes)
* * [misc]simplify:  iters left: 4 (140 enodes)
* * [misc]simplify:  iters left: 3 (392 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- 2 (+ beta alpha)))) (* (+ beta (+ alpha 2)) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ (pow 2 3) (pow (+ beta alpha) 3))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- 2 (+ beta alpha)))) (* (+ beta (+ alpha 2)) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))))
* * * * [misc]progress:  [ 175 / 292 ] 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 (50 enodes)
* * [misc]simplify:  iters left: 4 (122 enodes)
* * [misc]simplify:  iters left: 3 (269 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ (pow 2 3) (pow (+ beta alpha) 3))) (sqrt (+ (+ 1.0 2) (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ (pow 2 3) (pow (+ beta alpha) 3))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (/ (+ (* (+ 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 (43 enodes)
* * [misc]simplify:  iters left: 4 (140 enodes)
* * [misc]simplify:  iters left: 3 (392 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- 2 (+ beta alpha)))) (* (+ beta (+ alpha 2)) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ (pow 2 3) (pow (+ beta alpha) 3))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- 2 (+ beta alpha)))) (* (+ beta (+ alpha 2)) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))))
* * * * [misc]progress:  [ 176 / 292 ] 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 (39 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (217 enodes)
* * [misc]simplify:  iters left: 2 (489 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ (pow 2 3) (pow (+ beta alpha) 3)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ (pow 2 3) (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 (42 enodes)
* * [misc]simplify:  iters left: 4 (139 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- 2 (+ beta alpha)))) (* (+ (+ 1.0 alpha) (+ beta 2)) (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ (pow 2 3) (pow (+ beta alpha) 3))) (/ (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- 2 (+ beta alpha)))) (* (+ (+ 1.0 alpha) (+ beta 2)) (+ beta (+ alpha 2))))))
* * * * [misc]progress:  [ 177 / 292 ] 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 (58 enodes)
* * [misc]simplify:  iters left: 4 (159 enodes)
* * [misc]simplify:  iters left: 3 (398 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (+ (+ beta 2) alpha)) (* (cbrt (+ (+ beta 2) alpha)) (+ beta (- alpha 2)))) (* (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (+ (+ beta 2) alpha)) (* (cbrt (+ (+ beta 2) alpha)) (+ beta (- alpha 2)))) (* (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (151 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (/ (- alpha (- 2 beta)) (cbrt (+ (+ 2 alpha) (+ beta 1.0)))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (+ (+ beta 2) alpha)) (* (cbrt (+ (+ beta 2) alpha)) (+ beta (- alpha 2)))) (* (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (/ (- alpha (- 2 beta)) (cbrt (+ (+ 2 alpha) (+ beta 1.0)))) (cbrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 178 / 292 ] 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 (55 enodes)
* * [misc]simplify:  iters left: 4 (150 enodes)
* * [misc]simplify:  iters left: 3 (432 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (+ beta 2) alpha)) (* (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))) (* (+ (- beta 2) alpha) (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (+ beta 2) alpha)) (* (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))) (* (+ (- beta 2) alpha) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (- (+ 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 (32 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (151 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (/ (- alpha (- 2 beta)) (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (+ beta 2) alpha)) (* (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))) (* (+ (- beta 2) alpha) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (- alpha (- 2 beta)) (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (cbrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 179 / 292 ] 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 (50 enodes)
* * [misc]simplify:  iters left: 4 (137 enodes)
* * [misc]simplify:  iters left: 3 (445 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2))))) (/ (/ (- (+ 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 (31 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* * [misc]simplify:  iters left: 2 (275 enodes)
* * [misc]simplify:  iters left: 1 (351 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (- alpha 2) beta) (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2))))) (/ (/ (+ (- alpha 2) beta) (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 180 / 292 ] 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 (55 enodes)
* * [misc]simplify:  iters left: 4 (155 enodes)
* * [misc]simplify:  iters left: 3 (450 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (* (sqrt (+ alpha (+ beta 2))) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (* (sqrt (+ alpha (+ beta 2))) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2)))) (/ (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (151 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (/ (- alpha (- 2 beta)) (cbrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (* (sqrt (+ alpha (+ beta 2))) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2)))) (/ (/ (- alpha (- 2 beta)) (cbrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 181 / 292 ] 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 (52 enodes)
* * [misc]simplify:  iters left: 4 (138 enodes)
* * [misc]simplify:  iters left: 3 (318 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (* (+ (+ beta alpha) 2) (- (+ beta alpha) 2))) (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (* (+ (+ beta alpha) 2) (- (+ beta alpha) 2))) (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (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 (32 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (151 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (/ (- alpha (- 2 beta)) (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (* (+ (+ beta alpha) 2) (- (+ beta alpha) 2))) (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (- alpha (- 2 beta)) (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 182 / 292 ] 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 (47 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (381 enodes)
* [exit]simplify:  Simplified to (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (* (sqrt (+ 2 (+ beta alpha))) (* (+ (+ beta alpha) 2) (- (+ beta alpha) 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (* (sqrt (+ 2 (+ beta alpha))) (* (+ (+ beta alpha) 2) (- (+ beta alpha) 2)))) (/ (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* * [misc]simplify:  iters left: 2 (275 enodes)
* * [misc]simplify:  iters left: 1 (351 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (- alpha 2) beta) (+ (+ 1.0 2) (+ beta alpha))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (* (sqrt (+ 2 (+ beta alpha))) (* (+ (+ beta alpha) 2) (- (+ beta alpha) 2)))) (/ (/ (+ (- alpha 2) beta) (+ (+ 1.0 2) (+ beta alpha))) (sqrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 183 / 292 ] 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 (54 enodes)
* * [misc]simplify:  iters left: 4 (153 enodes)
* * [misc]simplify:  iters left: 3 (438 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (* (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 (13 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* * [misc]simplify:  iters left: 2 (198 enodes)
* * [misc]simplify:  iters left: 1 (233 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (- beta 2) alpha) (+ 2 (+ beta alpha))) (cbrt (+ (+ 1.0 beta) (+ 2 alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (+ (- beta 2) alpha) (+ 2 (+ beta alpha))) (cbrt (+ (+ 1.0 beta) (+ 2 alpha))))))
* * * * [misc]progress:  [ 184 / 292 ] 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 (51 enodes)
* * [misc]simplify:  iters left: 4 (139 enodes)
* * [misc]simplify:  iters left: 3 (364 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (/ (/ (- (+ 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 (31 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* * [misc]simplify:  iters left: 2 (198 enodes)
* * [misc]simplify:  iters left: 1 (233 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (- beta 2) alpha) (+ 2 (+ beta alpha))) (sqrt (+ (+ 1.0 beta) (+ 2 alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (/ (/ (+ (- beta 2) alpha) (+ 2 (+ beta alpha))) (sqrt (+ (+ 1.0 beta) (+ 2 alpha))))))
* * * * [misc]progress:  [ 185 / 292 ] 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 (40 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (306 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta (+ 1.0 alpha)) (* alpha beta)) (* (+ 2 (+ beta alpha)) (- (+ beta alpha) 2)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ beta (+ 1.0 alpha)) (* alpha beta)) (* (+ 2 (+ beta alpha)) (- (+ beta alpha) 2))) (/ (/ (- (+ 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 (30 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (386 enodes)
* [exit]simplify:  Simplified to (/ (/ (- beta (- 2 alpha)) (+ 2 (+ beta alpha))) (+ (+ beta 2) (+ alpha 1.0)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (+ beta (+ 1.0 alpha)) (* alpha beta)) (* (+ 2 (+ beta alpha)) (- (+ beta alpha) 2))) (/ (/ (- beta (- 2 alpha)) (+ 2 (+ beta alpha))) (+ (+ beta 2) (+ alpha 1.0)))))
* * * * [misc]progress:  [ 186 / 292 ] 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 (66 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 (107 enodes)
* * [misc]simplify:  iters left: 3 (285 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (cbrt (+ (+ 1.0 beta) (+ alpha 2))))) (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * * * [misc]progress:  [ 187 / 292 ] 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 (63 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (+ 1.0 2) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ 1 (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (/ (/ (/ (+ (+ (+ 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 (107 enodes)
* * [misc]simplify:  iters left: 3 (285 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * * * [misc]progress:  [ 188 / 292 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ 1 1) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* 1 (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (457 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ 2 (+ beta alpha)) (+ (+ 1.0 alpha) (+ 2 beta)))) (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* 1 (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ 2 (+ beta alpha)) (+ (+ 1.0 alpha) (+ 2 beta)))) (+ 2 (+ beta alpha)))))
* * * * [misc]progress:  [ 189 / 292 ] 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 (201 enodes)
* * [misc]simplify:  iters left: 2 (282 enodes)
* * [misc]simplify:  iters left: 1 (403 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (+ (+ 2 beta) alpha)) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (+ (+ 2 beta) alpha)) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (126 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ 1.0 beta) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (+ (+ 2 beta) alpha)) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ 1.0 beta) (+ alpha 2))))))
* * * * [misc]progress:  [ 190 / 292 ] 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 (88 enodes)
* * [misc]simplify:  iters left: 3 (157 enodes)
* * [misc]simplify:  iters left: 2 (196 enodes)
* * [misc]simplify:  iters left: 1 (212 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (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 (110 enodes)
* * [misc]simplify:  iters left: 2 (126 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ 1.0 beta) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (+ 2 (+ beta alpha))) (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ 1.0 beta) (+ alpha 2))))))
* * * * [misc]progress:  [ 191 / 292 ] 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) (+ (+ 1.0 beta) alpha)) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (* alpha beta) (+ (+ 1.0 beta) alpha)) (+ beta (+ alpha 2))) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (317 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ 1.0 2) (+ alpha beta))) (+ (+ alpha beta) 2))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (* alpha beta) (+ (+ 1.0 beta) alpha)) (+ beta (+ alpha 2))) (/ (/ 1 (+ (+ 1.0 2) (+ alpha beta))) (+ (+ alpha beta) 2))))
* * * * [misc]progress:  [ 192 / 292 ] 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 (53 enodes)
* * [misc]simplify:  iters left: 4 (146 enodes)
* * [misc]simplify:  iters left: 3 (427 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ (pow (+ beta alpha) 3) (pow 2 3))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (+ alpha (+ 2 beta)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ (pow (+ beta alpha) 3) (pow 2 3))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (+ 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 (40 enodes)
* * [misc]simplify:  iters left: 4 (115 enodes)
* * [misc]simplify:  iters left: 3 (316 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 alpha) beta))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ (pow (+ beta alpha) 3) (pow 2 3))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (+ alpha (+ 2 beta))) (/ (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 alpha) beta))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))))
* * * * [misc]progress:  [ 193 / 292 ] 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 (50 enodes)
* * [misc]simplify:  iters left: 4 (138 enodes)
* * [misc]simplify:  iters left: 3 (359 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ (+ 2 beta) alpha)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (+ (pow (+ beta alpha) 3) (pow 2 3))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ (+ 2 beta) alpha)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (+ (pow (+ beta alpha) 3) (pow 2 3)))) (/ (+ (* (+ 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 (40 enodes)
* * [misc]simplify:  iters left: 4 (115 enodes)
* * [misc]simplify:  iters left: 3 (316 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 alpha) beta))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ (+ 2 beta) alpha)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (+ (pow (+ beta alpha) 3) (pow 2 3)))) (/ (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 alpha) beta))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))))
* * * * [misc]progress:  [ 194 / 292 ] 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 (45 enodes)
* * [misc]simplify:  iters left: 4 (122 enodes)
* * [misc]simplify:  iters left: 3 (345 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (* (+ 2 (+ beta alpha)) (+ (pow (+ beta alpha) 3) (pow 2 3))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (* (+ 2 (+ beta alpha)) (+ (pow (+ beta alpha) 3) (pow 2 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)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* * [misc]simplify:  iters left: 3 (314 enodes)
* [exit]simplify:  Simplified to (/ (- (* 2 2) (* (- 2 (+ beta alpha)) (+ beta alpha))) (+ (+ 1.0 alpha) (+ beta 2)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (* (+ 2 (+ beta alpha)) (+ (pow (+ beta alpha) 3) (pow 2 3)))) (/ (- (* 2 2) (* (- 2 (+ beta alpha)) (+ beta alpha))) (+ (+ 1.0 alpha) (+ beta 2)))))
* * * * [misc]progress:  [ 195 / 292 ] 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 (54 enodes)
* * [misc]simplify:  iters left: 4 (161 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ beta (+ (+ 1.0 alpha) (* alpha beta))) (* (* (+ (+ beta alpha) 2) (- (+ beta alpha) 2)) (+ (+ beta alpha) 2))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ beta (+ (+ 1.0 alpha) (* alpha beta))) (* (* (+ (+ beta alpha) 2) (- (+ beta alpha) 2)) (+ (+ beta alpha) 2))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ 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 (28 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (128 enodes)
* [exit]simplify:  Simplified to (/ (- beta (- 2 alpha)) (cbrt (+ (+ alpha 1.0) (+ beta 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ beta (+ (+ 1.0 alpha) (* alpha beta))) (* (* (+ (+ beta alpha) 2) (- (+ beta alpha) 2)) (+ (+ beta alpha) 2))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))) (/ (- beta (- 2 alpha)) (cbrt (+ (+ alpha 1.0) (+ beta 2))))))
* * * * [misc]progress:  [ 196 / 292 ] 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 (51 enodes)
* * [misc]simplify:  iters left: 4 (153 enodes)
* * [misc]simplify:  iters left: 3 (464 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (* (+ beta (- alpha 2)) (* (+ alpha (+ 2 beta)) (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (* (+ beta (- alpha 2)) (* (+ alpha (+ 2 beta)) (+ alpha (+ 2 beta))))) (/ (- (+ 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 (28 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (128 enodes)
* [exit]simplify:  Simplified to (/ (- beta (- 2 alpha)) (sqrt (+ (+ alpha 1.0) (+ beta 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (* (+ beta (- alpha 2)) (* (+ alpha (+ 2 beta)) (+ alpha (+ 2 beta))))) (/ (- beta (- 2 alpha)) (sqrt (+ (+ alpha 1.0) (+ beta 2))))))
* * * * [misc]progress:  [ 197 / 292 ] 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 (46 enodes)
* * [misc]simplify:  iters left: 4 (145 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (* (+ alpha (+ 2 beta)) (+ alpha (+ 2 beta)))) (+ alpha (- beta 2)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (* (+ alpha (+ 2 beta)) (+ alpha (+ 2 beta)))) (+ alpha (- beta 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 (27 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (128 enodes)
* [exit]simplify:  Simplified to (/ (+ (- alpha 2) beta) (+ (+ 2 1.0) (+ beta alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (* (+ alpha (+ 2 beta)) (+ alpha (+ 2 beta)))) (+ alpha (- beta 2))) (/ (+ (- alpha 2) beta) (+ (+ 2 1.0) (+ beta alpha)))))
* * * * [misc]progress:  [ 198 / 292 ] 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 / 292 ] 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 / 292 ] 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 / 292 ] 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 (62 enodes)
* * [misc]simplify:  iters left: 2 (72 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 / 292 ] 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 (62 enodes)
* * [misc]simplify:  iters left: 2 (72 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 / 292 ] 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 (72 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 / 292 ] 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 (72 enodes)
* * [misc]simplify:  iters left: 3 (204 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))) (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))) (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 205 / 292 ] 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 (71 enodes)
* * [misc]simplify:  iters left: 3 (202 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 / 292 ] 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 (103 enodes)
* * [misc]simplify:  iters left: 2 (128 enodes)
* * [misc]simplify:  iters left: 1 (141 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 / 292 ] 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 / 292 ] 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 (125 enodes)
* * [misc]simplify:  iters left: 1 (139 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ 2 (+ beta alpha)))) (cbrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ 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))) (+ 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:  [ 209 / 292 ] 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 (109 enodes)
* * [misc]simplify:  iters left: 1 (122 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 / 292 ] 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 (84 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ (+ alpha 2) beta))) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ (+ alpha 2) beta))) (sqrt (+ (+ 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)))))))
* * * * [misc]progress:  [ 211 / 292 ] 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 (84 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ 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:  [ 212 / 292 ] 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 (156 enodes)
* * [misc]simplify:  iters left: 2 (209 enodes)
* * [misc]simplify:  iters left: 1 (284 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (+ (+ 2 beta) alpha)) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (+ (+ 2 beta) alpha)) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (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 / 292 ] 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 (144 enodes)
* * [misc]simplify:  iters left: 2 (197 enodes)
* * [misc]simplify:  iters left: 1 (226 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ 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 / 292 ] 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 (380 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (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 / 292 ] 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 (234 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (* (cbrt (+ (+ 2 beta) alpha)) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (* (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (* (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 / 292 ] 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 (98 enodes)
* * [misc]simplify:  iters left: 2 (123 enodes)
* * [misc]simplify:  iters left: 1 (138 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (+ (+ 2 beta) alpha)) (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (+ (+ 2 beta) alpha)) (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 217 / 292 ] 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 (238 enodes)
* * [misc]simplify:  iters left: 1 (383 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 / 292 ] 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 (158 enodes)
* * [misc]simplify:  iters left: 2 (289 enodes)
* * [misc]simplify:  iters left: 1 (347 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (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:  [ 219 / 292 ] 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 (128 enodes)
* * [misc]simplify:  iters left: 2 (234 enodes)
* * [misc]simplify:  iters left: 1 (248 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 / 292 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) 1) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (118 enodes)
* * [misc]simplify:  iters left: 1 (130 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 221 / 292 ] 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 (118 enodes)
* * [misc]simplify:  iters left: 1 (157 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) beta)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 222 / 292 ] 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 (98 enodes)
* * [misc]simplify:  iters left: 2 (124 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))))) (sqrt (+ 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 (+ 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 / 292 ] 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 (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 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 / 292 ] 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 (101 enodes)
* * [misc]simplify:  iters left: 2 (122 enodes)
* * [misc]simplify:  iters left: 1 (134 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (* alpha beta) (+ (+ 1.0 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 / 292 ] 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 (86 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (119 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))) (/ (+ (+ (+ 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 / 292 ] 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 (92 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (+ 2 (+ beta alpha)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 227 / 292 ] 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 / 292 ] 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 (90 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (123 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 / 292 ] 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 (45 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (97 enodes)
* * [misc]simplify:  iters left: 1 (109 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha 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:  [ 230 / 292 ] 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 (40 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 / 292 ] 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 / 292 ] 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 / 292 ] 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 / 292 ] 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 (26 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 / 292 ] 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 / 292 ] 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 / 292 ] 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 / 292 ] 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 / 292 ] 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 / 292 ] 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 / 292 ] 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 / 292 ] 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 (106 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (+ beta (+ (* alpha beta) (+ 1.0 alpha))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (+ beta (+ (* alpha beta) (+ 1.0 alpha))) (* (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 / 292 ] 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 (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ 2 (+ beta alpha)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 244 / 292 ] 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 (71 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (+ (* alpha beta) (+ beta (+ 1.0 alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 245 / 292 ] 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 (46 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (262 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ (pow 2 3) (pow (+ beta alpha) 3))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ (pow 2 3) (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 / 292 ] 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 (43 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (238 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (* (+ (pow 2 3) (pow (+ beta alpha) 3)) (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (* (+ (pow 2 3) (pow (+ beta alpha) 3)) (sqrt (+ (+ alpha 2) beta)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 247 / 292 ] 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 (38 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (219 enodes)
* * [misc]simplify:  iters left: 2 (492 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ (pow 2 3) (pow (+ beta alpha) 3)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ (pow 2 3) (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 / 292 ] 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 (47 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (377 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (* (+ (+ beta alpha) 2) (- (+ beta alpha) 2))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (* (+ (+ beta alpha) 2) (- (+ beta alpha) 2))) (* (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 / 292 ] 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 (44 enodes)
* * [misc]simplify:  iters left: 4 (119 enodes)
* * [misc]simplify:  iters left: 3 (342 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (- alpha (- 2 beta))) (* (sqrt (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (- alpha (- 2 beta))) (* (sqrt (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 250 / 292 ] 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 (39 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (306 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta alpha) (+ (* alpha beta) 1.0)) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (+ (+ beta alpha) (+ (* alpha beta) 1.0)) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (- (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 251 / 292 ] 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 / 292 ] 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 (105 enodes)
* * [misc]simplify:  iters left: 1 (118 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)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 253 / 292 ] 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 (42 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (271 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ (pow (+ beta alpha) 3) (pow 2 3))) (+ alpha (+ 2 beta)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ (pow (+ beta alpha) 3) (pow 2 3))) (+ alpha (+ 2 beta))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 254 / 292 ] 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 (43 enodes)
* * [misc]simplify:  iters left: 4 (127 enodes)
* * [misc]simplify:  iters left: 3 (400 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta (+ 1.0 alpha)) (* alpha beta)) (* (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))) (- beta (- 2 alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (+ (+ beta (+ 1.0 alpha)) (* alpha beta)) (* (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))) (- beta (- 2 alpha)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (- (+ alpha beta) (* 2 1)))))
* * * * [misc]progress:  [ 255 / 292 ] 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 (126 enodes)
* [exit]simplify:  Simplified to (+ (* (- (- 1.0 2) (+ beta alpha)) 1.0) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (pow (+ (+ alpha beta) (* 2 1)) 3) (pow 1.0 3))) (+ (* (- (- 1.0 2) (+ beta alpha)) 1.0) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 256 / 292 ] 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 (72 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (131 enodes)
* [exit]simplify:  Simplified to (- (+ beta alpha) (- 1.0 2))
* [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 alpha) (- 1.0 2))))
* * * * [misc]progress:  [ 257 / 292 ] 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 (105 enodes)
* * [misc]simplify:  iters left: 1 (118 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)) (* (+ (+ (+ alpha beta) (* 2 1)) 1.0) (+ (+ alpha beta) (* 2 1)))))
* * * * [misc]progress:  [ 258 / 292 ] 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:  [ 259 / 292 ] 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:  [ 260 / 292 ] 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:  [ 261 / 292 ] 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:  [ 262 / 292 ] 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:  [ 263 / 292 ] 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:  [ 264 / 292 ] 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:  [ 265 / 292 ] 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:  [ 266 / 292 ] 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:  [ 267 / 292 ] 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:  [ 268 / 292 ] 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:  [ 269 / 292 ] 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:  [ 270 / 292 ] 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:  [ 271 / 292 ] 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:  [ 272 / 292 ] 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:  [ 273 / 292 ] 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:  [ 274 / 292 ] 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:  [ 275 / 292 ] 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:  [ 276 / 292 ] 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:  [ 277 / 292 ] 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:  [ 278 / 292 ] 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:  [ 279 / 292 ] 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:  [ 280 / 292 ] 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:  [ 281 / 292 ] 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:  [ 282 / 292 ] 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 (69 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (185 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:  [ 283 / 292 ] 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 (69 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (185 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:  [ 284 / 292 ] simplifiying candidate #<alt (λ (alpha beta) (- 0.08333333333333333 (+ (* 0.25 (/ alpha (pow 3.0 2))) (* 0.027777777777777776 beta))))>
* [enter]simplify:  Simplifying (- 0.08333333333333333 (+ (* 0.25 (/ alpha (pow 3.0 2))) (* 0.027777777777777776 beta)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (176 enodes)
* [exit]simplify:  Simplified to (- (- 0.08333333333333333 (* beta 0.027777777777777776)) (* (/ alpha 3.0) (/ 0.25 3.0)))
* [misc]simplify:  Simplified (2) to (λ (alpha beta) (- (- 0.08333333333333333 (* beta 0.027777777777777776)) (* (/ alpha 3.0) (/ 0.25 3.0))))
* * * * [misc]progress:  [ 285 / 292 ] 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:  [ 286 / 292 ] 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:  [ 287 / 292 ] 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:  [ 288 / 292 ] 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:  [ 289 / 292 ] 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:  [ 290 / 292 ] 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:  [ 291 / 292 ] 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:  [ 292 / 292 ] 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 2 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<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:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 1 1 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 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (/ (/ (/ (+ (+ (+ 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 (sqrt (/ (/ (/ (+ (+ (+ 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))) (+ (+ (+ 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]backup-simplify:  Simplify (sqrt (/ (+ 1.0 alpha) (* (pow (+ 2 alpha) 2) (+ 3.0 alpha)))) into (* (/ 1 (+ 2 alpha)) (sqrt (/ (+ 1.0 alpha) (+ 3.0 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 (+ 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 alpha) (+ 2 alpha)) (+ (* (/ (+ 1.0 alpha) (+ 2 alpha)) (/ 1 (+ 2 alpha))))) into (- (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))) (+ (* 1.0 (/ 1 (pow (+ 2 alpha) 2))) (/ alpha (pow (+ 2 alpha) 2))))
* [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 alpha)) (/ alpha (+ 2 alpha))) (+ (* 1.0 (/ 1 (pow (+ 2 alpha) 2))) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha)) (+ (* (/ (+ 1.0 alpha) (pow (+ 2 alpha) 2)) (/ 1 (+ 2 alpha))))) into (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 3))) (* 2.0 (/ 1 (pow (+ 2 alpha) 3)))))
* [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 0) into 1
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 3))) (* 2.0 (/ 1 (pow (+ 2 alpha) 3))))) (+ 3.0 alpha)) (+ (* (/ (+ 1.0 alpha) (* (pow (+ 2 alpha) 2) (+ 3.0 alpha))) (/ 1 (+ 3.0 alpha))))) into (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3.0 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3.0 alpha)))) (+ (* 1.0 (/ 1 (* (pow (+ 2 alpha) 2) (pow (+ 3.0 alpha) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ 2 alpha) 3) (+ 3.0 alpha)))) (+ (* 2 (/ alpha (* (pow (+ 2 alpha) 3) (+ 3.0 alpha)))) (/ alpha (* (pow (+ 2 alpha) 2) (pow (+ 3.0 alpha) 2)))))))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3.0 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3.0 alpha)))) (+ (* 1.0 (/ 1 (* (pow (+ 2 alpha) 2) (pow (+ 3.0 alpha) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ 2 alpha) 3) (+ 3.0 alpha)))) (+ (* 2 (/ alpha (* (pow (+ 2 alpha) 3) (+ 3.0 alpha)))) (/ alpha (* (pow (+ 2 alpha) 2) (pow (+ 3.0 alpha) 2))))))) (* 2 (sqrt (/ (+ 1.0 alpha) (* (pow (+ 2 alpha) 2) (+ 3.0 alpha)))))) into (* 1/2 (* (* (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3.0 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3.0 alpha)))) (+ (* 2.0 (/ 1 (* (pow (+ 2 alpha) 3) (+ 3.0 alpha)))) (+ (* 1.0 (/ 1 (* (pow (+ 2 alpha) 2) (pow (+ 3.0 alpha) 2)))) (+ (* 2 (/ alpha (* (pow (+ 2 alpha) 3) (+ 3.0 alpha)))) (/ alpha (* (pow (+ 2 alpha) 2) (pow (+ 3.0 alpha) 2))))))) (+ 2 alpha)) (sqrt (/ (+ 3.0 alpha) (+ 1.0 alpha)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (/ (/ (+ (+ (+ 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))) (+ (+ (+ 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]backup-simplify:  Simplify (sqrt (/ (+ beta 1.0) (* (pow (+ beta 2) 2) (+ beta 3.0)))) into (* (/ 1 (+ beta 2)) (sqrt (/ (+ beta 1.0) (+ beta 3.0))))
* [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 (+ 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]backup-simplify:  Simplify (/ (- (+ (/ 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)))))))) (* 2 (sqrt (/ (+ beta 1.0) (* (pow (+ beta 2) 2) (+ beta 3.0)))))) into (* 1/2 (* (* (+ beta 2) (- (+ (/ 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)))) (+ (* 2.0 (/ 1 (* (pow (+ beta 2) 3) (+ beta 3.0)))) (+ (/ beta (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))) (* 1.0 (/ 1 (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))))))))) (sqrt (/ (+ beta 3.0) (+ beta 1.0)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (/ (/ (+ (+ (+ 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))) (+ (+ (+ 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]backup-simplify:  Simplify (sqrt (/ (+ beta 1.0) (* (pow (+ beta 2) 2) (+ beta 3.0)))) into (* (/ 1 (+ beta 2)) (sqrt (/ (+ beta 1.0) (+ beta 3.0))))
* [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 (+ 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]backup-simplify:  Simplify (/ (- (+ (/ 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)))))))) (* 2 (sqrt (/ (+ beta 1.0) (* (pow (+ beta 2) 2) (+ beta 3.0)))))) into (* 1/2 (* (* (+ beta 2) (- (+ (/ 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)))) (+ (* 2.0 (/ 1 (* (pow (+ beta 2) 3) (+ beta 3.0)))) (+ (/ beta (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))) (* 1.0 (/ 1 (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))))))))) (sqrt (/ (+ beta 3.0) (+ beta 1.0)))))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (+ beta 2)) (sqrt (/ (+ beta 1.0) (+ beta 3.0)))) 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) (+ beta 3.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ beta 1.0) (+ 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 (+ 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 (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (/ 1.0 3.0) into 0.3333333333333333
* [misc]backup-simplify:  Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 3.0) (+ (* 0.3333333333333333 (/ 1 3.0)))) into 0.2222222222222222
* [misc]backup-simplify:  Simplify (/ 0.2222222222222222 (* 2 (sqrt 0.3333333333333333))) into (/ 0.1111111111111111 (sqrt 0.3333333333333333))
* [misc]backup-simplify:  Simplify (* 1/2 (sqrt 0.3333333333333333)) into (* 1/2 (sqrt 0.3333333333333333))
* [misc]backup-simplify:  Simplify (* 1/2 (sqrt 0.3333333333333333)) into (* 1/2 (sqrt 0.3333333333333333))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (* (+ beta 2) (- (+ (/ 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)))) (+ (* 2.0 (/ 1 (* (pow (+ beta 2) 3) (+ beta 3.0)))) (+ (/ beta (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))) (* 1.0 (/ 1 (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))))))))) (sqrt (/ (+ beta 3.0) (+ beta 1.0))))) in beta
* [misc]taylor:  Taking taylor expansion of 1/2 in beta
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (* (+ beta 2) (- (+ (/ 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)))) (+ (* 2.0 (/ 1 (* (pow (+ beta 2) 3) (+ beta 3.0)))) (+ (/ beta (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))) (* 1.0 (/ 1 (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))))))))) (sqrt (/ (+ beta 3.0) (+ beta 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (+ beta 2) (- (+ (/ 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)))) (+ (* 2.0 (/ 1 (* (pow (+ beta 2) 3) (+ beta 3.0)))) (+ (/ beta (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))) (* 1.0 (/ 1 (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 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]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)))) (+ (* 2.0 (/ 1 (* (pow (+ beta 2) 3) (+ beta 3.0)))) (+ (/ beta (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))) (* 1.0 (/ 1 (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2)))))))) 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 (exp (* 2 (log (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ 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 (log (+ 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 (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* 2 (log 2)) into (* 2 (log 2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log 2))) into (pow 2 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 3.0) into 3.0
* [misc]backup-simplify:  Simplify (* (pow 2 2) 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 (exp (* 2 (log (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ 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 (log (+ 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 (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* 2 (log 2)) into (* 2 (log 2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log 2))) into (pow 2 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 3.0) into 3.0
* [misc]backup-simplify:  Simplify (* (pow 2 2) 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)))) (+ (* 2.0 (/ 1 (* (pow (+ beta 2) 3) (+ beta 3.0)))) (+ (/ beta (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))) (* 1.0 (/ 1 (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))))))) 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 (exp (* 3 (log (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ 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 (log (+ 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 (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* 3 (log 2)) into (* 3 (log 2))
* [misc]backup-simplify:  Simplify (exp (* 3 (log 2))) into (pow 2 3)
* [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 (* (pow 2 3) 3.0) into 24.0
* [misc]backup-simplify:  Simplify (/ 1 24.0) into 0.041666666666666664
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (* (pow (+ beta 2) 3) (+ beta 3.0)))) (+ (/ beta (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))) (* 1.0 (/ 1 (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2)))))) in beta
* [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 (exp (* 3 (log (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ 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 (log (+ 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 (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* 3 (log 2)) into (* 3 (log 2))
* [misc]backup-simplify:  Simplify (exp (* 3 (log 2))) into (pow 2 3)
* [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 (* (pow 2 3) 3.0) into 24.0
* [misc]backup-simplify:  Simplify (/ 1 24.0) into 0.041666666666666664
* [misc]taylor:  Taking taylor expansion of (+ (/ beta (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))) (* 1.0 (/ 1 (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))))) 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 (exp (* 2 (log (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ 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 (log (+ 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 (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* 2 (log 2)) into (* 2 (log 2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log 2))) into (pow 2 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 3.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta 3.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ 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 (log (+ beta 3.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 3.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (log 3.0) into (log 3.0)
* [misc]backup-simplify:  Simplify (* 2 (log 3.0)) into (* 2 (log 3.0))
* [misc]backup-simplify:  Simplify (exp (* 2 (log 3.0))) into (pow 3.0 2)
* [misc]backup-simplify:  Simplify (* (pow 2 2) (pow 3.0 2)) into (* 4 (pow 3.0 2))
* [misc]backup-simplify:  Simplify (/ 1 (* 4 (pow 3.0 2))) into (/ 1/4 (pow 3.0 2))
* [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 (exp (* 2 (log (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ 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 (log (+ 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 (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* 2 (log 2)) into (* 2 (log 2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log 2))) into (pow 2 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 3.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta 3.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ 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 (log (+ beta 3.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 3.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (log 3.0) into (log 3.0)
* [misc]backup-simplify:  Simplify (* 2 (log 3.0)) into (* 2 (log 3.0))
* [misc]backup-simplify:  Simplify (exp (* 2 (log 3.0))) into (pow 3.0 2)
* [misc]backup-simplify:  Simplify (* (pow 2 2) (pow 3.0 2)) into (* 4 (pow 3.0 2))
* [misc]backup-simplify:  Simplify (/ 1 (* 4 (pow 3.0 2))) into (/ 1/4 (pow 3.0 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ beta 3.0) (+ beta 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ beta 3.0) (+ beta 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 3.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (/ 3.0 1.0) into 3.0
* [misc]backup-simplify:  Simplify (sqrt 3.0) into (sqrt 3.0)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 1.0) (+ (* 3.0 (/ 1 1.0)))) into (- 2.0)
* [misc]backup-simplify:  Simplify (/ (- 2.0) (* 2 (sqrt 3.0))) into (/ -1.0 (sqrt 3.0))
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (+ 0 0.08333333333333333) into 0.08333333333333333
* [misc]backup-simplify:  Simplify (* 2.0 0.041666666666666664) into 0.08333333333333333
* [misc]backup-simplify:  Simplify (* 1.0 (/ 1/4 (pow 3.0 2))) into (/ 0.25 (pow 3.0 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 0.25 (pow 3.0 2))) into (* 0.25 (/ 1 (pow 3.0 2)))
* [misc]backup-simplify:  Simplify (+ 0.08333333333333333 (* 0.25 (/ 1 (pow 3.0 2)))) into (+ (* 0.25 (/ 1 (pow 3.0 2))) 0.08333333333333333)
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 0.25 (/ 1 (pow 3.0 2))) 0.08333333333333333)) into (+ (* 0.25 (/ 1 (pow 3.0 2))) 0.08333333333333333)
* [misc]backup-simplify:  Simplify (- (+ (* 0.25 (/ 1 (pow 3.0 2))) 0.08333333333333333)) into (- (+ (* 0.25 (/ 1 (pow 3.0 2))) 0.08333333333333333))
* [misc]backup-simplify:  Simplify (+ 0.08333333333333333 (- (+ (* 0.25 (/ 1 (pow 3.0 2))) 0.08333333333333333))) into (- (* 0.25 (/ 1 (pow 3.0 2))))
* [misc]backup-simplify:  Simplify (* 2 (- (* 0.25 (/ 1 (pow 3.0 2))))) into (/ -0.5 (pow 3.0 2))
* [misc]backup-simplify:  Simplify (* (/ -0.5 (pow 3.0 2)) (sqrt 3.0)) into (* -0.5 (/ (sqrt 3.0) (pow 3.0 2)))
* [misc]backup-simplify:  Simplify (* 1/2 (* -0.5 (/ (sqrt 3.0) (pow 3.0 2)))) into (* -0.25 (/ (sqrt 3.0) (pow 3.0 2)))
* [misc]backup-simplify:  Simplify (* -0.25 (/ (sqrt 3.0) (pow 3.0 2))) into (* -0.25 (/ (sqrt 3.0) (pow 3.0 2)))
* [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 (/ 0.1111111111111111 (sqrt 0.3333333333333333))) (* -1/4 (sqrt 0.3333333333333333))) into (- (* 0.05555555555555555 (/ 1 (sqrt 0.3333333333333333))) (* 1/4 (sqrt 0.3333333333333333)))
* [misc]backup-simplify:  Simplify (- (* 0.05555555555555555 (/ 1 (sqrt 0.3333333333333333))) (* 1/4 (sqrt 0.3333333333333333))) into (- (* 0.05555555555555555 (/ 1 (sqrt 0.3333333333333333))) (* 1/4 (sqrt 0.3333333333333333)))
* [misc]backup-simplify:  Simplify (+ (* (- (* 0.05555555555555555 (/ 1 (sqrt 0.3333333333333333))) (* 1/4 (sqrt 0.3333333333333333))) (* beta 1)) (+ (* (* -0.25 (/ (sqrt 3.0) (pow 3.0 2))) (* 1 alpha)) (* 1/2 (sqrt 0.3333333333333333)))) into (- (+ (* 1/2 (sqrt 0.3333333333333333)) (* 0.05555555555555555 (/ beta (sqrt 0.3333333333333333)))) (+ (* 0.25 (/ (* (sqrt 3.0) alpha) (pow 3.0 2))) (* 1/4 (* (sqrt 0.3333333333333333) beta))))
* [misc]approximate:  Taking taylor expansion of (sqrt (/ (/ (/ (+ (+ (+ (/ 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 (sqrt (/ (/ (/ (+ (+ (+ (/ 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))) (+ (+ (+ (/ 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]backup-simplify:  Simplify (sqrt (+ (/ 1 alpha) 1)) into (sqrt (+ (/ 1 alpha) 1))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 1.0) into (+ (/ 1 alpha) 1.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 2) into (+ (/ 1 alpha) 2)
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 alpha) 1.0) 1) (+ (* (+ (/ 1 alpha) 1) (/ (+ (/ 1 alpha) 2) 1)))) into (- (+ (/ 1 (pow alpha 2)) (+ (* 2 (/ 1 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 2) into (+ (/ 1 alpha) 2)
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 (pow alpha 2)) (+ (* 2 (/ 1 alpha)) 1.0))) 1) (+ (* (+ (/ 1 alpha) 1) (/ (+ (/ 1 alpha) 2) 1)))) into (- (+ (* 5 (/ 1 alpha)) (+ (* 2 (/ 1 (pow alpha 2))) 3.0)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 2) into (+ (/ 1 alpha) 2)
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 alpha) 2) 1.0) into (+ (/ 1 alpha) 3.0)
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* 5 (/ 1 alpha)) (+ (* 2 (/ 1 (pow alpha 2))) 3.0))) 1) (+ (* (+ (/ 1 alpha) 1) (/ (+ (/ 1 alpha) 3.0) 1)))) into (- (+ (* 9.0 (/ 1 alpha)) (+ (* 3 (/ 1 (pow alpha 2))) 6.0)))
* [misc]backup-simplify:  Simplify (/ (- (+ (* 9.0 (/ 1 alpha)) (+ (* 3 (/ 1 (pow alpha 2))) 6.0))) (* 2 (sqrt (+ (/ 1 alpha) 1)))) into (* -1/2 (* (+ (* 9.0 (/ 1 alpha)) (+ (* 3 (/ 1 (pow alpha 2))) 6.0)) (sqrt (/ 1 (+ (/ 1 alpha) 1)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (/ (/ (+ (+ (+ (/ 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))) (+ (+ (+ (/ 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]backup-simplify:  Simplify (sqrt (+ (/ 1 beta) 1)) into (sqrt (+ (/ 1 beta) 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]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]backup-simplify:  Simplify (/ (- (+ (* 3 (/ 1 (pow beta 2))) (+ (* 9.0 (/ 1 beta)) 6.0))) (* 2 (sqrt (+ (/ 1 beta) 1)))) into (* -1/2 (* (+ (* 3 (/ 1 (pow beta 2))) (+ (* 9.0 (/ 1 beta)) 6.0)) (sqrt (/ 1 (+ (/ 1 beta) 1)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (/ (/ (+ (+ (+ (/ 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))) (+ (+ (+ (/ 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]backup-simplify:  Simplify (sqrt (+ (/ 1 beta) 1)) into (sqrt (+ (/ 1 beta) 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]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]backup-simplify:  Simplify (/ (- (+ (* 3 (/ 1 (pow beta 2))) (+ (* 9.0 (/ 1 beta)) 6.0))) (* 2 (sqrt (+ (/ 1 beta) 1)))) into (* -1/2 (* (+ (* 3 (/ 1 (pow beta 2))) (+ (* 9.0 (/ 1 beta)) 6.0)) (sqrt (/ 1 (+ (/ 1 beta) 1)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) 1)) in beta
* [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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 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 (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* -1/2 (* (+ (* 3 (/ 1 (pow beta 2))) (+ (* 9.0 (/ 1 beta)) 6.0)) (sqrt (/ 1 (+ (/ 1 beta) 1))))) 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 (* (+ (* 3 (/ 1 (pow beta 2))) (+ (* 9.0 (/ 1 beta)) 6.0)) (sqrt (/ 1 (+ (/ 1 beta) 1)))) 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]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]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 beta) 1))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (/ 1 beta) 1)) in beta
* [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 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (+ 3 0) into 3
* [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 (/ 1 1)))) into -1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1
* [misc]backup-simplify:  Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 1 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* 9.0 1) into 9.0
* [misc]backup-simplify:  Simplify (+ 9.0 0) into 9.0
* [misc]backup-simplify:  Simplify (+ 0 9.0) into 9.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 9.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 6.0) into 6.0
* [misc]backup-simplify:  Simplify (+ 0 6.0) into 6.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 9.0 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 (+ (* 3 +nan.0) (+ (* 9.0 +nan.0) (+ (* 6.0 +nan.0) (* 0 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 3 +nan.0) (+ (* 9.0 +nan.0) (* 6.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 3 +nan.0) (* 9.0 0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* 3 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1/2 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 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 (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (pow (/ 1 beta) 2) (/ 1 alpha))) (+ (* (- +nan.0) (* (/ 1 beta) (pow (/ 1 alpha) 2))) (* +nan.0 (* (/ 1 beta) (/ 1 alpha))))) into (- (+ (* +nan.0 (/ 1 (* (pow beta 2) alpha))) (- (+ (* +nan.0 (/ 1 (* beta alpha))) (- (* +nan.0 (/ 1 (* beta (pow alpha 2)))))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (/ (/ (/ (+ (+ (+ (/ 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 (sqrt (/ (/ (/ (+ (+ (+ (/ 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))) (+ (+ (+ (/ 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]backup-simplify:  Simplify (sqrt (* -1 (- (/ 1 alpha) 1))) into (sqrt (* -1 (- (/ 1 alpha) 1)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) 0) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (/ -1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) 0) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) 1.0) into (- 1.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) 0) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) 2) into (- 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- 1.0 (/ 1 alpha)) -1) (+ (* (* -1 (- (/ 1 alpha) 1)) (/ (- 2 (/ 1 alpha)) -1)))) into (- (+ (/ 1 (pow alpha 2)) 1.0) (* 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 (+ (/ -1 alpha) 0) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) 2) into (- 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 (pow alpha 2)) 1.0) (* 2 (/ 1 alpha))) -1) (+ (* (- (/ 1 alpha) 1) (/ (- 2 (/ 1 alpha)) -1)))) into (- (* 5 (/ 1 alpha)) (+ (* 2 (/ 1 (pow alpha 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 (+ (/ -1 alpha) 0) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) 2) into (- 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- 2 (/ 1 alpha)) 1.0) into (- 3.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (* 5 (/ 1 alpha)) (+ (* 2 (/ 1 (pow alpha 2))) 3.0)) -1) (+ (* (* -1 (- (/ 1 alpha) 1)) (/ (- 3.0 (/ 1 alpha)) -1)))) into (- (+ (* 3 (/ 1 (pow alpha 2))) 6.0) (* 9.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (+ (* 3 (/ 1 (pow alpha 2))) 6.0) (* 9.0 (/ 1 alpha))) (* 2 (sqrt (* -1 (- (/ 1 alpha) 1))))) into (* 1/2 (/ (- (+ (* 3 (/ 1 (pow alpha 2))) 6.0) (* 9.0 (/ 1 alpha))) (sqrt (* -1 (- (/ 1 alpha) 1)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (/ (/ (+ (+ (+ (/ 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))) (+ (+ (+ (/ 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]backup-simplify:  Simplify (sqrt (* -1 (- (/ 1 beta) 1))) into (sqrt (* -1 (- (/ 1 beta) 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]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]backup-simplify:  Simplify (/ (- (+ (* 3 (/ 1 (pow beta 2))) 6.0) (* 9.0 (/ 1 beta))) (* 2 (sqrt (* -1 (- (/ 1 beta) 1))))) into (* 1/2 (/ (- (+ (* 3 (/ 1 (pow beta 2))) 6.0) (* 9.0 (/ 1 beta))) (sqrt (* -1 (- (/ 1 beta) 1)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (/ (/ (+ (+ (+ (/ 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))) (+ (+ (+ (/ 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]backup-simplify:  Simplify (sqrt (* -1 (- (/ 1 beta) 1))) into (sqrt (* -1 (- (/ 1 beta) 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]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]backup-simplify:  Simplify (/ (- (+ (* 3 (/ 1 (pow beta 2))) 6.0) (* 9.0 (/ 1 beta))) (* 2 (sqrt (* -1 (- (/ 1 beta) 1))))) into (* 1/2 (/ (- (+ (* 3 (/ 1 (pow beta 2))) 6.0) (* 9.0 (/ 1 beta))) (sqrt (* -1 (- (/ 1 beta) 1)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (* -1 (- (/ 1 beta) 1))) in beta
* [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) into 1
* [misc]backup-simplify:  Simplify (* -1 1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* -1 -1) (* 0 1)) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- (+ (* 3 (/ 1 (pow beta 2))) 6.0) (* 9.0 (/ 1 beta))) (sqrt (* -1 (- (/ 1 beta) 1))))) 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 (/ (- (+ (* 3 (/ 1 (pow beta 2))) 6.0) (* 9.0 (/ 1 beta))) (sqrt (* -1 (- (/ 1 beta) 1)))) in 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]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]taylor:  Taking taylor expansion of (sqrt (* -1 (- (/ 1 beta) 1))) in beta
* [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) into 1
* [misc]backup-simplify:  Simplify (* -1 1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (+ 3 0) into 3
* [misc]backup-simplify:  Simplify (+ 3 0) into 3
* [misc]backup-simplify:  Simplify (/ 3 +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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 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 (+ (* 9.0 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 (- (+ (* 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) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 -1) (* 0 1)) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 -1) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 9.0 1) into 9.0
* [misc]backup-simplify:  Simplify (- 9.0) into (- 9.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 9.0)) into (- 9.0)
* [misc]backup-simplify:  Simplify (- (/ (- 9.0) +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 6.0) into 6.0
* [misc]backup-simplify:  Simplify (+ (* 9.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 6.0 0) into 6.0
* [misc]backup-simplify:  Simplify (- (/ 6.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 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)) (* 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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (pow (/ 1 (- beta)) 2) (/ 1 (- alpha)))) (+ (* (- +nan.0) (* (/ 1 (- beta)) (pow (/ 1 (- alpha)) 2))) (* +nan.0 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) into (- (+ (* +nan.0 (/ 1 (* (pow beta 2) alpha))) (- (+ (* +nan.0 (/ 1 (* beta alpha))) (- (* +nan.0 (/ 1 (* beta (pow alpha 2)))))))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (/ (/ (/ (+ (+ (+ 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 (sqrt (/ (/ (/ (+ (+ (+ 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))) (+ (+ (+ 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]backup-simplify:  Simplify (sqrt (/ (+ 1.0 alpha) (* (pow (+ 2 alpha) 2) (+ 3.0 alpha)))) into (* (/ 1 (+ 2 alpha)) (sqrt (/ (+ 1.0 alpha) (+ 3.0 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 (+ 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 alpha) (+ 2 alpha)) (+ (* (/ (+ 1.0 alpha) (+ 2 alpha)) (/ 1 (+ 2 alpha))))) into (- (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))) (+ (* 1.0 (/ 1 (pow (+ 2 alpha) 2))) (/ alpha (pow (+ 2 alpha) 2))))
* [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 alpha)) (/ alpha (+ 2 alpha))) (+ (* 1.0 (/ 1 (pow (+ 2 alpha) 2))) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha)) (+ (* (/ (+ 1.0 alpha) (pow (+ 2 alpha) 2)) (/ 1 (+ 2 alpha))))) into (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 3))) (* 2.0 (/ 1 (pow (+ 2 alpha) 3)))))
* [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 0) into 1
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 3))) (* 2.0 (/ 1 (pow (+ 2 alpha) 3))))) (+ 3.0 alpha)) (+ (* (/ (+ 1.0 alpha) (* (pow (+ 2 alpha) 2) (+ 3.0 alpha))) (/ 1 (+ 3.0 alpha))))) into (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3.0 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3.0 alpha)))) (+ (* 1.0 (/ 1 (* (pow (+ 2 alpha) 2) (pow (+ 3.0 alpha) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ 2 alpha) 3) (+ 3.0 alpha)))) (+ (* 2 (/ alpha (* (pow (+ 2 alpha) 3) (+ 3.0 alpha)))) (/ alpha (* (pow (+ 2 alpha) 2) (pow (+ 3.0 alpha) 2)))))))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3.0 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3.0 alpha)))) (+ (* 1.0 (/ 1 (* (pow (+ 2 alpha) 2) (pow (+ 3.0 alpha) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ 2 alpha) 3) (+ 3.0 alpha)))) (+ (* 2 (/ alpha (* (pow (+ 2 alpha) 3) (+ 3.0 alpha)))) (/ alpha (* (pow (+ 2 alpha) 2) (pow (+ 3.0 alpha) 2))))))) (* 2 (sqrt (/ (+ 1.0 alpha) (* (pow (+ 2 alpha) 2) (+ 3.0 alpha)))))) into (* 1/2 (* (* (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3.0 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3.0 alpha)))) (+ (* 2.0 (/ 1 (* (pow (+ 2 alpha) 3) (+ 3.0 alpha)))) (+ (* 1.0 (/ 1 (* (pow (+ 2 alpha) 2) (pow (+ 3.0 alpha) 2)))) (+ (* 2 (/ alpha (* (pow (+ 2 alpha) 3) (+ 3.0 alpha)))) (/ alpha (* (pow (+ 2 alpha) 2) (pow (+ 3.0 alpha) 2))))))) (+ 2 alpha)) (sqrt (/ (+ 3.0 alpha) (+ 1.0 alpha)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (/ (/ (+ (+ (+ 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))) (+ (+ (+ 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]backup-simplify:  Simplify (sqrt (/ (+ beta 1.0) (* (pow (+ beta 2) 2) (+ beta 3.0)))) into (* (/ 1 (+ beta 2)) (sqrt (/ (+ beta 1.0) (+ beta 3.0))))
* [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 (+ 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]backup-simplify:  Simplify (/ (- (+ (/ 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)))))))) (* 2 (sqrt (/ (+ beta 1.0) (* (pow (+ beta 2) 2) (+ beta 3.0)))))) into (* 1/2 (* (* (+ beta 2) (- (+ (/ 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)))) (+ (* 2.0 (/ 1 (* (pow (+ beta 2) 3) (+ beta 3.0)))) (+ (/ beta (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))) (* 1.0 (/ 1 (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))))))))) (sqrt (/ (+ beta 3.0) (+ beta 1.0)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (/ (/ (+ (+ (+ 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))) (+ (+ (+ 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]backup-simplify:  Simplify (sqrt (/ (+ beta 1.0) (* (pow (+ beta 2) 2) (+ beta 3.0)))) into (* (/ 1 (+ beta 2)) (sqrt (/ (+ beta 1.0) (+ beta 3.0))))
* [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 (+ 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]backup-simplify:  Simplify (/ (- (+ (/ 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)))))))) (* 2 (sqrt (/ (+ beta 1.0) (* (pow (+ beta 2) 2) (+ beta 3.0)))))) into (* 1/2 (* (* (+ beta 2) (- (+ (/ 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)))) (+ (* 2.0 (/ 1 (* (pow (+ beta 2) 3) (+ beta 3.0)))) (+ (/ beta (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))) (* 1.0 (/ 1 (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))))))))) (sqrt (/ (+ beta 3.0) (+ beta 1.0)))))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (+ beta 2)) (sqrt (/ (+ beta 1.0) (+ beta 3.0)))) 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) (+ beta 3.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ beta 1.0) (+ 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 (+ 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 (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (/ 1.0 3.0) into 0.3333333333333333
* [misc]backup-simplify:  Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 3.0) (+ (* 0.3333333333333333 (/ 1 3.0)))) into 0.2222222222222222
* [misc]backup-simplify:  Simplify (/ 0.2222222222222222 (* 2 (sqrt 0.3333333333333333))) into (/ 0.1111111111111111 (sqrt 0.3333333333333333))
* [misc]backup-simplify:  Simplify (* 1/2 (sqrt 0.3333333333333333)) into (* 1/2 (sqrt 0.3333333333333333))
* [misc]backup-simplify:  Simplify (* 1/2 (sqrt 0.3333333333333333)) into (* 1/2 (sqrt 0.3333333333333333))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (* (+ beta 2) (- (+ (/ 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)))) (+ (* 2.0 (/ 1 (* (pow (+ beta 2) 3) (+ beta 3.0)))) (+ (/ beta (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))) (* 1.0 (/ 1 (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))))))))) (sqrt (/ (+ beta 3.0) (+ beta 1.0))))) in beta
* [misc]taylor:  Taking taylor expansion of 1/2 in beta
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (* (+ beta 2) (- (+ (/ 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)))) (+ (* 2.0 (/ 1 (* (pow (+ beta 2) 3) (+ beta 3.0)))) (+ (/ beta (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))) (* 1.0 (/ 1 (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))))))))) (sqrt (/ (+ beta 3.0) (+ beta 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (+ beta 2) (- (+ (/ 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)))) (+ (* 2.0 (/ 1 (* (pow (+ beta 2) 3) (+ beta 3.0)))) (+ (/ beta (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))) (* 1.0 (/ 1 (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 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]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)))) (+ (* 2.0 (/ 1 (* (pow (+ beta 2) 3) (+ beta 3.0)))) (+ (/ beta (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))) (* 1.0 (/ 1 (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2)))))))) 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 (exp (* 2 (log (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ 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 (log (+ 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 (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* 2 (log 2)) into (* 2 (log 2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log 2))) into (pow 2 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 3.0) into 3.0
* [misc]backup-simplify:  Simplify (* (pow 2 2) 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 (exp (* 2 (log (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ 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 (log (+ 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 (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* 2 (log 2)) into (* 2 (log 2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log 2))) into (pow 2 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 3.0) into 3.0
* [misc]backup-simplify:  Simplify (* (pow 2 2) 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)))) (+ (* 2.0 (/ 1 (* (pow (+ beta 2) 3) (+ beta 3.0)))) (+ (/ beta (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))) (* 1.0 (/ 1 (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))))))) 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 (exp (* 3 (log (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ 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 (log (+ 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 (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* 3 (log 2)) into (* 3 (log 2))
* [misc]backup-simplify:  Simplify (exp (* 3 (log 2))) into (pow 2 3)
* [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 (* (pow 2 3) 3.0) into 24.0
* [misc]backup-simplify:  Simplify (/ 1 24.0) into 0.041666666666666664
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (* (pow (+ beta 2) 3) (+ beta 3.0)))) (+ (/ beta (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))) (* 1.0 (/ 1 (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2)))))) in beta
* [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 (exp (* 3 (log (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ 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 (log (+ 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 (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* 3 (log 2)) into (* 3 (log 2))
* [misc]backup-simplify:  Simplify (exp (* 3 (log 2))) into (pow 2 3)
* [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 (* (pow 2 3) 3.0) into 24.0
* [misc]backup-simplify:  Simplify (/ 1 24.0) into 0.041666666666666664
* [misc]taylor:  Taking taylor expansion of (+ (/ beta (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))) (* 1.0 (/ 1 (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))))) 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 (exp (* 2 (log (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ 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 (log (+ 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 (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* 2 (log 2)) into (* 2 (log 2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log 2))) into (pow 2 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 3.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta 3.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ 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 (log (+ beta 3.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 3.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (log 3.0) into (log 3.0)
* [misc]backup-simplify:  Simplify (* 2 (log 3.0)) into (* 2 (log 3.0))
* [misc]backup-simplify:  Simplify (exp (* 2 (log 3.0))) into (pow 3.0 2)
* [misc]backup-simplify:  Simplify (* (pow 2 2) (pow 3.0 2)) into (* 4 (pow 3.0 2))
* [misc]backup-simplify:  Simplify (/ 1 (* 4 (pow 3.0 2))) into (/ 1/4 (pow 3.0 2))
* [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 (exp (* 2 (log (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ 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 (log (+ 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 (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* 2 (log 2)) into (* 2 (log 2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log 2))) into (pow 2 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 3.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta 3.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ 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 (log (+ beta 3.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 3.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (log 3.0) into (log 3.0)
* [misc]backup-simplify:  Simplify (* 2 (log 3.0)) into (* 2 (log 3.0))
* [misc]backup-simplify:  Simplify (exp (* 2 (log 3.0))) into (pow 3.0 2)
* [misc]backup-simplify:  Simplify (* (pow 2 2) (pow 3.0 2)) into (* 4 (pow 3.0 2))
* [misc]backup-simplify:  Simplify (/ 1 (* 4 (pow 3.0 2))) into (/ 1/4 (pow 3.0 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ beta 3.0) (+ beta 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ beta 3.0) (+ beta 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 3.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (/ 3.0 1.0) into 3.0
* [misc]backup-simplify:  Simplify (sqrt 3.0) into (sqrt 3.0)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 1.0) (+ (* 3.0 (/ 1 1.0)))) into (- 2.0)
* [misc]backup-simplify:  Simplify (/ (- 2.0) (* 2 (sqrt 3.0))) into (/ -1.0 (sqrt 3.0))
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (+ 0 0.08333333333333333) into 0.08333333333333333
* [misc]backup-simplify:  Simplify (* 2.0 0.041666666666666664) into 0.08333333333333333
* [misc]backup-simplify:  Simplify (* 1.0 (/ 1/4 (pow 3.0 2))) into (/ 0.25 (pow 3.0 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 0.25 (pow 3.0 2))) into (* 0.25 (/ 1 (pow 3.0 2)))
* [misc]backup-simplify:  Simplify (+ 0.08333333333333333 (* 0.25 (/ 1 (pow 3.0 2)))) into (+ (* 0.25 (/ 1 (pow 3.0 2))) 0.08333333333333333)
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 0.25 (/ 1 (pow 3.0 2))) 0.08333333333333333)) into (+ (* 0.25 (/ 1 (pow 3.0 2))) 0.08333333333333333)
* [misc]backup-simplify:  Simplify (- (+ (* 0.25 (/ 1 (pow 3.0 2))) 0.08333333333333333)) into (- (+ (* 0.25 (/ 1 (pow 3.0 2))) 0.08333333333333333))
* [misc]backup-simplify:  Simplify (+ 0.08333333333333333 (- (+ (* 0.25 (/ 1 (pow 3.0 2))) 0.08333333333333333))) into (- (* 0.25 (/ 1 (pow 3.0 2))))
* [misc]backup-simplify:  Simplify (* 2 (- (* 0.25 (/ 1 (pow 3.0 2))))) into (/ -0.5 (pow 3.0 2))
* [misc]backup-simplify:  Simplify (* (/ -0.5 (pow 3.0 2)) (sqrt 3.0)) into (* -0.5 (/ (sqrt 3.0) (pow 3.0 2)))
* [misc]backup-simplify:  Simplify (* 1/2 (* -0.5 (/ (sqrt 3.0) (pow 3.0 2)))) into (* -0.25 (/ (sqrt 3.0) (pow 3.0 2)))
* [misc]backup-simplify:  Simplify (* -0.25 (/ (sqrt 3.0) (pow 3.0 2))) into (* -0.25 (/ (sqrt 3.0) (pow 3.0 2)))
* [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 (/ 0.1111111111111111 (sqrt 0.3333333333333333))) (* -1/4 (sqrt 0.3333333333333333))) into (- (* 0.05555555555555555 (/ 1 (sqrt 0.3333333333333333))) (* 1/4 (sqrt 0.3333333333333333)))
* [misc]backup-simplify:  Simplify (- (* 0.05555555555555555 (/ 1 (sqrt 0.3333333333333333))) (* 1/4 (sqrt 0.3333333333333333))) into (- (* 0.05555555555555555 (/ 1 (sqrt 0.3333333333333333))) (* 1/4 (sqrt 0.3333333333333333)))
* [misc]backup-simplify:  Simplify (+ (* (- (* 0.05555555555555555 (/ 1 (sqrt 0.3333333333333333))) (* 1/4 (sqrt 0.3333333333333333))) (* beta 1)) (+ (* (* -0.25 (/ (sqrt 3.0) (pow 3.0 2))) (* 1 alpha)) (* 1/2 (sqrt 0.3333333333333333)))) into (- (+ (* 1/2 (sqrt 0.3333333333333333)) (* 0.05555555555555555 (/ beta (sqrt 0.3333333333333333)))) (+ (* 0.25 (/ (* (sqrt 3.0) alpha) (pow 3.0 2))) (* 1/4 (* (sqrt 0.3333333333333333) beta))))
* [misc]approximate:  Taking taylor expansion of (sqrt (/ (/ (/ (+ (+ (+ (/ 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 (sqrt (/ (/ (/ (+ (+ (+ (/ 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))) (+ (+ (+ (/ 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]backup-simplify:  Simplify (sqrt (+ (/ 1 alpha) 1)) into (sqrt (+ (/ 1 alpha) 1))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 1.0) into (+ (/ 1 alpha) 1.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 2) into (+ (/ 1 alpha) 2)
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 alpha) 1.0) 1) (+ (* (+ (/ 1 alpha) 1) (/ (+ (/ 1 alpha) 2) 1)))) into (- (+ (/ 1 (pow alpha 2)) (+ (* 2 (/ 1 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 2) into (+ (/ 1 alpha) 2)
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 (pow alpha 2)) (+ (* 2 (/ 1 alpha)) 1.0))) 1) (+ (* (+ (/ 1 alpha) 1) (/ (+ (/ 1 alpha) 2) 1)))) into (- (+ (* 5 (/ 1 alpha)) (+ (* 2 (/ 1 (pow alpha 2))) 3.0)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 2) into (+ (/ 1 alpha) 2)
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 alpha) 2) 1.0) into (+ (/ 1 alpha) 3.0)
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* 5 (/ 1 alpha)) (+ (* 2 (/ 1 (pow alpha 2))) 3.0))) 1) (+ (* (+ (/ 1 alpha) 1) (/ (+ (/ 1 alpha) 3.0) 1)))) into (- (+ (* 9.0 (/ 1 alpha)) (+ (* 3 (/ 1 (pow alpha 2))) 6.0)))
* [misc]backup-simplify:  Simplify (/ (- (+ (* 9.0 (/ 1 alpha)) (+ (* 3 (/ 1 (pow alpha 2))) 6.0))) (* 2 (sqrt (+ (/ 1 alpha) 1)))) into (* -1/2 (* (+ (* 9.0 (/ 1 alpha)) (+ (* 3 (/ 1 (pow alpha 2))) 6.0)) (sqrt (/ 1 (+ (/ 1 alpha) 1)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (/ (/ (+ (+ (+ (/ 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))) (+ (+ (+ (/ 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]backup-simplify:  Simplify (sqrt (+ (/ 1 beta) 1)) into (sqrt (+ (/ 1 beta) 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]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]backup-simplify:  Simplify (/ (- (+ (* 3 (/ 1 (pow beta 2))) (+ (* 9.0 (/ 1 beta)) 6.0))) (* 2 (sqrt (+ (/ 1 beta) 1)))) into (* -1/2 (* (+ (* 3 (/ 1 (pow beta 2))) (+ (* 9.0 (/ 1 beta)) 6.0)) (sqrt (/ 1 (+ (/ 1 beta) 1)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (/ (/ (+ (+ (+ (/ 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))) (+ (+ (+ (/ 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]backup-simplify:  Simplify (sqrt (+ (/ 1 beta) 1)) into (sqrt (+ (/ 1 beta) 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]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]backup-simplify:  Simplify (/ (- (+ (* 3 (/ 1 (pow beta 2))) (+ (* 9.0 (/ 1 beta)) 6.0))) (* 2 (sqrt (+ (/ 1 beta) 1)))) into (* -1/2 (* (+ (* 3 (/ 1 (pow beta 2))) (+ (* 9.0 (/ 1 beta)) 6.0)) (sqrt (/ 1 (+ (/ 1 beta) 1)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 beta) 1)) in beta
* [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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 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 (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* -1/2 (* (+ (* 3 (/ 1 (pow beta 2))) (+ (* 9.0 (/ 1 beta)) 6.0)) (sqrt (/ 1 (+ (/ 1 beta) 1))))) 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 (* (+ (* 3 (/ 1 (pow beta 2))) (+ (* 9.0 (/ 1 beta)) 6.0)) (sqrt (/ 1 (+ (/ 1 beta) 1)))) 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]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]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 beta) 1))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (/ 1 beta) 1)) in beta
* [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 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (+ 3 0) into 3
* [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 (/ 1 1)))) into -1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1
* [misc]backup-simplify:  Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 1 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* 9.0 1) into 9.0
* [misc]backup-simplify:  Simplify (+ 9.0 0) into 9.0
* [misc]backup-simplify:  Simplify (+ 0 9.0) into 9.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 9.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 6.0) into 6.0
* [misc]backup-simplify:  Simplify (+ 0 6.0) into 6.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 9.0 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 (+ (* 3 +nan.0) (+ (* 9.0 +nan.0) (+ (* 6.0 +nan.0) (* 0 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 3 +nan.0) (+ (* 9.0 +nan.0) (* 6.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 3 +nan.0) (* 9.0 0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* 3 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1/2 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 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 (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (pow (/ 1 beta) 2) (/ 1 alpha))) (+ (* (- +nan.0) (* (/ 1 beta) (pow (/ 1 alpha) 2))) (* +nan.0 (* (/ 1 beta) (/ 1 alpha))))) into (- (+ (* +nan.0 (/ 1 (* (pow beta 2) alpha))) (- (+ (* +nan.0 (/ 1 (* beta alpha))) (- (* +nan.0 (/ 1 (* beta (pow alpha 2)))))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (/ (/ (/ (+ (+ (+ (/ 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 (sqrt (/ (/ (/ (+ (+ (+ (/ 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))) (+ (+ (+ (/ 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]backup-simplify:  Simplify (sqrt (* -1 (- (/ 1 alpha) 1))) into (sqrt (* -1 (- (/ 1 alpha) 1)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) 0) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (/ -1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) 0) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) 1.0) into (- 1.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) 0) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) 2) into (- 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- 1.0 (/ 1 alpha)) -1) (+ (* (* -1 (- (/ 1 alpha) 1)) (/ (- 2 (/ 1 alpha)) -1)))) into (- (+ (/ 1 (pow alpha 2)) 1.0) (* 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 (+ (/ -1 alpha) 0) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) 2) into (- 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 (pow alpha 2)) 1.0) (* 2 (/ 1 alpha))) -1) (+ (* (- (/ 1 alpha) 1) (/ (- 2 (/ 1 alpha)) -1)))) into (- (* 5 (/ 1 alpha)) (+ (* 2 (/ 1 (pow alpha 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 (+ (/ -1 alpha) 0) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) 2) into (- 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- 2 (/ 1 alpha)) 1.0) into (- 3.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (* 5 (/ 1 alpha)) (+ (* 2 (/ 1 (pow alpha 2))) 3.0)) -1) (+ (* (* -1 (- (/ 1 alpha) 1)) (/ (- 3.0 (/ 1 alpha)) -1)))) into (- (+ (* 3 (/ 1 (pow alpha 2))) 6.0) (* 9.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (+ (* 3 (/ 1 (pow alpha 2))) 6.0) (* 9.0 (/ 1 alpha))) (* 2 (sqrt (* -1 (- (/ 1 alpha) 1))))) into (* 1/2 (/ (- (+ (* 3 (/ 1 (pow alpha 2))) 6.0) (* 9.0 (/ 1 alpha))) (sqrt (* -1 (- (/ 1 alpha) 1)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (/ (/ (+ (+ (+ (/ 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))) (+ (+ (+ (/ 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]backup-simplify:  Simplify (sqrt (* -1 (- (/ 1 beta) 1))) into (sqrt (* -1 (- (/ 1 beta) 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]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]backup-simplify:  Simplify (/ (- (+ (* 3 (/ 1 (pow beta 2))) 6.0) (* 9.0 (/ 1 beta))) (* 2 (sqrt (* -1 (- (/ 1 beta) 1))))) into (* 1/2 (/ (- (+ (* 3 (/ 1 (pow beta 2))) 6.0) (* 9.0 (/ 1 beta))) (sqrt (* -1 (- (/ 1 beta) 1)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (/ (/ (+ (+ (+ (/ 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))) (+ (+ (+ (/ 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]backup-simplify:  Simplify (sqrt (* -1 (- (/ 1 beta) 1))) into (sqrt (* -1 (- (/ 1 beta) 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]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]backup-simplify:  Simplify (/ (- (+ (* 3 (/ 1 (pow beta 2))) 6.0) (* 9.0 (/ 1 beta))) (* 2 (sqrt (* -1 (- (/ 1 beta) 1))))) into (* 1/2 (/ (- (+ (* 3 (/ 1 (pow beta 2))) 6.0) (* 9.0 (/ 1 beta))) (sqrt (* -1 (- (/ 1 beta) 1)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (* -1 (- (/ 1 beta) 1))) in beta
* [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) into 1
* [misc]backup-simplify:  Simplify (* -1 1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* -1 -1) (* 0 1)) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- (+ (* 3 (/ 1 (pow beta 2))) 6.0) (* 9.0 (/ 1 beta))) (sqrt (* -1 (- (/ 1 beta) 1))))) 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 (/ (- (+ (* 3 (/ 1 (pow beta 2))) 6.0) (* 9.0 (/ 1 beta))) (sqrt (* -1 (- (/ 1 beta) 1)))) in 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]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]taylor:  Taking taylor expansion of (sqrt (* -1 (- (/ 1 beta) 1))) in beta
* [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) into 1
* [misc]backup-simplify:  Simplify (* -1 1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (+ 3 0) into 3
* [misc]backup-simplify:  Simplify (+ 3 0) into 3
* [misc]backup-simplify:  Simplify (/ 3 +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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 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 (+ (* 9.0 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 (- (+ (* 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) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 -1) (* 0 1)) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 -1) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 9.0 1) into 9.0
* [misc]backup-simplify:  Simplify (- 9.0) into (- 9.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 9.0)) into (- 9.0)
* [misc]backup-simplify:  Simplify (- (/ (- 9.0) +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 6.0) into 6.0
* [misc]backup-simplify:  Simplify (+ (* 9.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 6.0 0) into 6.0
* [misc]backup-simplify:  Simplify (- (/ 6.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 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)) (* 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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (pow (/ 1 (- beta)) 2) (/ 1 (- alpha)))) (+ (* (- +nan.0) (* (/ 1 (- beta)) (pow (/ 1 (- alpha)) 2))) (* +nan.0 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) into (- (+ (* +nan.0 (/ 1 (* (pow beta 2) alpha))) (- (+ (* +nan.0 (/ 1 (* beta alpha))) (- (* +nan.0 (/ 1 (* beta (pow alpha 2)))))))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 1 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 (exp (* 2 (log (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ 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 (log (+ 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 (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* 2 (log 2)) into (* 2 (log 2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log 2))) into (pow 2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow 2 2)) 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 (exp (* 2 (log (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ 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 (log (+ 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 (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* 2 (log 2)) into (* 2 (log 2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log 2))) into (pow 2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow 2 2)) 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]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 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]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]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 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)))) 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]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 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]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]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 (+ (* 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 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:  [ 4 / 4 ] generating series at (2 1 1 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 (exp (* 2 (log (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ 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 (log (+ 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 (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* 2 (log 2)) into (* 2 (log 2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log 2))) into (pow 2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow 2 2)) 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 (exp (* 2 (log (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ 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 (log (+ 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 (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* 2 (log 2)) into (* 2 (log 2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log 2))) into (pow 2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow 2 2)) 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]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 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]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]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 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)))) 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]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 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]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]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 (+ (* 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 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:  simplifying candidates
* * * * [misc]progress:  [ 1 / 418 ] 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))) (pow (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) 1/2)))>
* * * * [misc]progress:  [ 2 / 418 ] 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))) (pow (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) 1)))>
* * * * [misc]progress:  [ 3 / 418 ] 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))) (exp (log (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))>
* * * * [misc]progress:  [ 4 / 418 ] 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))) (log (exp (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))>
* * * * [misc]progress:  [ 5 / 418 ] 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))) (* (* (cbrt (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (cbrt (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) (cbrt (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))>
* * * * [misc]progress:  [ 6 / 418 ] 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))) (cbrt (* (* (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)))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))>
* * * * [misc]progress:  [ 7 / 418 ] 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 (* (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))))) (sqrt (cbrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))>
* [enter]simplify:  Simplifying (sqrt (* (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]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (110 enodes)
* * [misc]simplify:  iters left: 3 (461 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ beta 1.0) (+ alpha 2))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (* (fabs (cbrt (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ beta 1.0) (+ alpha 2))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha))))) (sqrt (cbrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 8 / 418 ] 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 (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (sqrt (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 (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 (37 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (462 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ (+ 1.0 alpha) (+ 2 beta))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (sqrt (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ (+ 1.0 alpha) (+ 2 beta))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))) (sqrt (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 9 / 418 ] 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 (/ (* (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))))) (sqrt (/ (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 (sqrt (/ (* (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 (44 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (258 enodes)
* [exit]simplify:  Simplified to (fabs (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (* (fabs (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))) (sqrt (/ (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 10 / 418 ] 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 (/ (* (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)))) (sqrt (/ (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 (sqrt (/ (* (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 (39 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (244 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (cbrt (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (/ (sqrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (cbrt (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (/ (sqrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha))))))) (sqrt (/ (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 11 / 418 ] 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 (/ (* (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)) (sqrt (/ (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))>
* [enter]simplify:  Simplifying (sqrt (/ (* (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 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (220 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (* (fabs (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))) (sqrt (/ (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 12 / 418 ] 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 (/ (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 (/ (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 (/ (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 (39 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (241 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (sqrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))))) (sqrt (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 13 / 418 ] 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 (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (sqrt (/ (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 (/ (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 (36 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (235 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (sqrt (+ (+ 2 beta) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (sqrt (+ (+ 2 beta) (+ 1.0 alpha))))) (sqrt (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 14 / 418 ] 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 (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) 1)) (sqrt (/ (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 (/ (sqrt (/ (/ (+ (+ (+ 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 (31 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (205 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta))))) (sqrt (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 15 / 418 ] 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 (/ (/ (* (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))))) (sqrt (/ (/ (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 (sqrt (/ (/ (* (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 (48 enodes)
* * [misc]simplify:  iters left: 4 (115 enodes)
* * [misc]simplify:  iters left: 3 (235 enodes)
* * [misc]simplify:  iters left: 2 (374 enodes)
* * [misc]simplify:  iters left: 1 (444 enodes)
* [exit]simplify:  Simplified to (fabs (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (* (fabs (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))) (sqrt (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 16 / 418 ] 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 (/ (/ (* (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)))) (sqrt (/ (/ (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 (sqrt (/ (/ (* (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 (45 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (178 enodes)
* * [misc]simplify:  iters left: 2 (240 enodes)
* * [misc]simplify:  iters left: 1 (275 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (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))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (* (/ (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))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))))) (sqrt (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 17 / 418 ] 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 (/ (/ (* (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)) (sqrt (/ (/ (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 (sqrt (/ (/ (* (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (153 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (fabs (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (* (fabs (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2))))) (sqrt (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 18 / 418 ] 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 (/ (/ (* (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))))) (sqrt (/ (/ (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 (sqrt (/ (/ (* (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 (43 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (176 enodes)
* * [misc]simplify:  iters left: 2 (242 enodes)
* * [misc]simplify:  iters left: 1 (274 enodes)
* [exit]simplify:  Simplified to (sqrt (* (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ beta (+ alpha 2)))) (/ (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (* (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ beta (+ alpha 2)))) (/ (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (sqrt (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 19 / 418 ] 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 (/ (/ (* (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)))) (sqrt (/ (/ (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 (sqrt (/ (/ (* (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 (40 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (179 enodes)
* * [misc]simplify:  iters left: 1 (196 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (* (/ (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ beta (+ alpha 2)))))) (sqrt (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 20 / 418 ] 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 (/ (/ (* (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)) (sqrt (/ (/ (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 (sqrt (/ (/ (* (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 (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 (240 enodes)
* * [misc]simplify:  iters left: 1 (399 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))) (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (* (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))) (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (+ 2 beta) alpha))))) (sqrt (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 21 / 418 ] 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 (/ (/ (* (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))))) (sqrt (/ (/ (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 (sqrt (/ (/ (* (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 (42 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (192 enodes)
* * [misc]simplify:  iters left: 2 (330 enodes)
* * [misc]simplify:  iters left: 1 (389 enodes)
* [exit]simplify:  Simplified to (fabs (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (+ alpha 2) beta))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (* (fabs (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (+ alpha 2) beta))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (sqrt (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 22 / 418 ] 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 (/ (/ (* (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)))) (sqrt (/ (/ (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 (sqrt (/ (/ (* (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 (39 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (156 enodes)
* * [misc]simplify:  iters left: 2 (247 enodes)
* * [misc]simplify:  iters left: 1 (266 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ 2 beta) alpha))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (* (/ (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ 2 beta) alpha))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ 2 beta) alpha))))) (sqrt (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 23 / 418 ] 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 (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) 1) 1)) (sqrt (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (* (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 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (* (fabs (cbrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ 2 (+ beta alpha))))) (sqrt (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 24 / 418 ] 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 (/ (/ (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 (/ (/ (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 (/ (/ (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 (43 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (147 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (/ (+ (+ 1.0 alpha) (+ (* alpha beta) beta)) (+ beta (+ alpha 2)))) (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2)))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2)))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (sqrt (/ (+ (+ 1.0 alpha) (+ (* alpha beta) beta)) (+ beta (+ alpha 2)))) (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2)))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2))))))) (sqrt (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 25 / 418 ] 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 (/ (/ (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 (/ (/ (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 (/ (/ (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 (40 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (176 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ 2 (+ beta alpha)))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ 2 (+ beta alpha)))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (sqrt (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 26 / 418 ] 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 (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)) (sqrt (/ (/ (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 (/ (/ (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (123 enodes)
* * [misc]simplify:  iters left: 1 (137 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))) (sqrt (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 27 / 418 ] 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 (/ (/ (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 (/ (/ (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 (/ (/ (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 (40 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (176 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ 2 (+ beta alpha)))) (* (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ 2 (+ beta alpha)))) (* (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (sqrt (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 28 / 418 ] 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 (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (sqrt (/ (/ (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 (/ (/ (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 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (171 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (sqrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (sqrt (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 29 / 418 ] 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 (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)) (sqrt (/ (/ (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 (/ (/ (sqrt (/ (+ (+ (+ 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 (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 (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))) (sqrt (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 30 / 418 ] 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 (/ (/ (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 (/ (/ (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 (/ (/ (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 (39 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (171 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ beta (+ alpha 2)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ beta (+ alpha 2)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))) (sqrt (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 31 / 418 ] 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 (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (sqrt (/ (/ (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 (/ (/ (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 (36 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (153 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (sqrt (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 32 / 418 ] 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 (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) 1) 1)) (sqrt (/ (/ (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 (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) 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) (+ (+ beta 1.0) alpha)) (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 1) to (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 (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ 2 beta) alpha)))) (sqrt (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 33 / 418 ] 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 (/ (/ (/ (* (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))))) (sqrt (/ (/ (/ (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 (sqrt (/ (/ (/ (* (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 (52 enodes)
* * [misc]simplify:  iters left: 4 (130 enodes)
* * [misc]simplify:  iters left: 3 (302 enodes)
* [exit]simplify:  Simplified to (fabs (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (* (fabs (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (sqrt (/ (/ (/ (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]progress:  [ 34 / 418 ] 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 (/ (/ (/ (* (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)))) (sqrt (/ (/ (/ (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 (sqrt (/ (/ (/ (* (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 (49 enodes)
* * [misc]simplify:  iters left: 4 (120 enodes)
* * [misc]simplify:  iters left: 3 (251 enodes)
* * [misc]simplify:  iters left: 2 (442 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 1) to (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 (* (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (+ (+ 2 beta) alpha)))) (sqrt (/ (/ (/ (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]progress:  [ 35 / 418 ] 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 (/ (/ (/ (* (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)) (sqrt (/ (/ (/ (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 (sqrt (/ (/ (/ (* (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (250 enodes)
* [exit]simplify:  Simplified to (fabs (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (* (fabs (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 36 / 418 ] 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 (/ (/ (/ (* (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))))) (sqrt (/ (/ (/ (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 (sqrt (/ (/ (/ (* (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 (51 enodes)
* * [misc]simplify:  iters left: 4 (121 enodes)
* * [misc]simplify:  iters left: 3 (279 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta))))) (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (* (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta))))) (sqrt (+ (+ alpha 2) beta)))) (sqrt (/ (/ (/ (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]progress:  [ 37 / 418 ] 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 (/ (/ (/ (* (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)))) (sqrt (/ (/ (/ (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 (sqrt (/ (/ (/ (* (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 (48 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (229 enodes)
* * [misc]simplify:  iters left: 2 (381 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta)))))) (sqrt (/ (/ (/ (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]progress:  [ 38 / 418 ] 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 (/ (/ (/ (* (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)) (sqrt (/ (/ (/ (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 (sqrt (/ (/ (/ (* (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 (20 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (203 enodes)
* * [misc]simplify:  iters left: 2 (494 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (sqrt (+ alpha (+ 2 beta)))) (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (* (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (sqrt (+ alpha (+ 2 beta)))) (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 39 / 418 ] 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 (/ (/ (/ (* (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))))) (sqrt (/ (/ (/ (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 (sqrt (/ (/ (/ (* (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 (50 enodes)
* * [misc]simplify:  iters left: 4 (126 enodes)
* * [misc]simplify:  iters left: 3 (302 enodes)
* [exit]simplify:  Simplified to (fabs (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (* (fabs (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 40 / 418 ] 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 (/ (/ (/ (* (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)))) (sqrt (/ (/ (/ (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 (sqrt (/ (/ (/ (* (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 (47 enodes)
* * [misc]simplify:  iters left: 4 (111 enodes)
* * [misc]simplify:  iters left: 3 (238 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 41 / 418 ] 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 (/ (/ (/ (* (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)) (sqrt (/ (/ (/ (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 (sqrt (/ (/ (/ (* (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (153 enodes)
* * [misc]simplify:  iters left: 2 (375 enodes)
* [exit]simplify:  Simplified to (fabs (/ (cbrt (+ (+ 1.0 beta) (+ (* alpha beta) alpha))) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (* (fabs (/ (cbrt (+ (+ 1.0 beta) (+ (* alpha beta) alpha))) (cbrt (+ beta (+ alpha 2))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 42 / 418 ] 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 (/ (/ (/ (* (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))))) (sqrt (/ (/ (/ (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 (sqrt (/ (/ (/ (* (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 (49 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (256 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 1.0 2) (+ beta alpha)))))) (/ (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 1.0 2) (+ beta alpha)))))) (/ (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))))) (sqrt (/ (/ (/ (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]progress:  [ 43 / 418 ] 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 (/ (/ (/ (* (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)))) (sqrt (/ (/ (/ (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 (sqrt (/ (/ (/ (* (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 (46 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (214 enodes)
* * [misc]simplify:  iters left: 2 (369 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (cbrt (+ (+ 1.0 beta) (+ (* alpha beta) alpha))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (/ (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (cbrt (+ (+ 1.0 beta) (+ (* alpha beta) alpha))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (cbrt (+ (+ 1.0 beta) (+ (* alpha beta) alpha))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (/ (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (cbrt (+ (+ 1.0 beta) (+ (* alpha beta) alpha)))))) (sqrt (/ (/ (/ (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]progress:  [ 44 / 418 ] 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 (/ (/ (/ (* (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)) (sqrt (/ (/ (/ (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 (sqrt (/ (/ (/ (* (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 (20 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (188 enodes)
* * [misc]simplify:  iters left: 2 (478 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (* (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 45 / 418 ] 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 (/ (/ (/ (* (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))))) (sqrt (/ (/ (/ (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 (sqrt (/ (/ (/ (* (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 (45 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (179 enodes)
* * [misc]simplify:  iters left: 2 (327 enodes)
* [exit]simplify:  Simplified to (fabs (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (* (fabs (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (sqrt (+ (+ 2 beta) alpha))))) (sqrt (/ (/ (/ (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]progress:  [ 46 / 418 ] 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 (/ (/ (/ (* (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)))) (sqrt (/ (/ (/ (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 (sqrt (/ (/ (/ (* (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 (42 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (160 enodes)
* * [misc]simplify:  iters left: 2 (248 enodes)
* * [misc]simplify:  iters left: 1 (300 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (* (+ beta (+ alpha 2)) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (* (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (* (+ beta (+ alpha 2)) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (sqrt (/ (/ (/ (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]progress:  [ 47 / 418 ] 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 (/ (/ (/ (* (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)) (sqrt (/ (/ (/ (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 (sqrt (/ (/ (/ (* (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (253 enodes)
* [exit]simplify:  Simplified to (fabs (/ (cbrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (* (fabs (/ (cbrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (sqrt (+ (+ 2 beta) alpha)))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 48 / 418 ] 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 (/ (/ (/ (* (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))))) (sqrt (/ (/ (/ (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 (sqrt (/ (/ (/ (* (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 (45 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (224 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (sqrt (+ beta (+ alpha 2)))) (/ (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (sqrt (+ beta (+ alpha 2)))) (/ (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta)))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 49 / 418 ] 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 (/ (/ (/ (* (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)))) (sqrt (/ (/ (/ (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 (sqrt (/ (/ (/ (* (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 (42 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (177 enodes)
* * [misc]simplify:  iters left: 2 (341 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 50 / 418 ] 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 (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) 1)) (sqrt (/ (/ (/ (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 (sqrt (/ (/ (/ (* (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 (18 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 (254 enodes)
* * [misc]simplify:  iters left: 1 (405 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ 2 beta) alpha))) (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (* (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ 2 beta) alpha))) (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 51 / 418 ] 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 (/ (/ (/ (* (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))))) (sqrt (/ (/ (/ (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 (sqrt (/ (/ (/ (* (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 (48 enodes)
* * [misc]simplify:  iters left: 4 (120 enodes)
* * [misc]simplify:  iters left: 3 (273 enodes)
* [exit]simplify:  Simplified to (fabs (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (* (fabs (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ alpha (+ 2 beta)))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 52 / 418 ] 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 (/ (/ (/ (* (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)))) (sqrt (/ (/ (/ (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 (sqrt (/ (/ (/ (* (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 (45 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (242 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (sqrt (+ (+ 2 beta) (+ 1.0 alpha)))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (sqrt (+ (+ 2 beta) (+ 1.0 alpha)))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 53 / 418 ] 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 (/ (/ (/ (* (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)) (sqrt (/ (/ (/ (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 (sqrt (/ (/ (/ (* (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (183 enodes)
* * [misc]simplify:  iters left: 2 (368 enodes)
* * [misc]simplify:  iters left: 1 (438 enodes)
* [exit]simplify:  Simplified to (fabs (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (* (fabs (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (+ (+ 2 beta) alpha)))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 54 / 418 ] 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 (/ (/ (/ (* (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))))) (sqrt (/ (/ (/ (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 (sqrt (/ (/ (/ (* (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 (45 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (218 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (* (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 55 / 418 ] 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 (/ (/ (/ (* (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)))) (sqrt (/ (/ (/ (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 (sqrt (/ (/ (/ (* (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 (42 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (194 enodes)
* * [misc]simplify:  iters left: 2 (404 enodes)
* [exit]simplify:  Simplified to (sqrt (* (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (* (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 56 / 418 ] 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 (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)) (sqrt (/ (/ (/ (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 (sqrt (/ (/ (/ (* (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (153 enodes)
* * [misc]simplify:  iters left: 2 (287 enodes)
* * [misc]simplify:  iters left: 1 (305 enodes)
* [exit]simplify:  Simplified to (sqrt (* (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (* (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 57 / 418 ] 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 (/ (/ (/ (* (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))))) (sqrt (/ (/ (/ (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 (sqrt (/ (/ (/ (* (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 (20 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (193 enodes)
* * [misc]simplify:  iters left: 2 (360 enodes)
* * [misc]simplify:  iters left: 1 (402 enodes)
* [exit]simplify:  Simplified to (fabs (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (* (fabs (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 58 / 418 ] 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 (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (sqrt (/ (/ (/ (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 (sqrt (/ (/ (/ (* (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (156 enodes)
* * [misc]simplify:  iters left: 2 (246 enodes)
* * [misc]simplify:  iters left: 1 (267 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ (+ beta 1.0) (+ 2 alpha)))) (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (* (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ (+ beta 1.0) (+ 2 alpha)))) (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 59 / 418 ] 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 (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) 1) 1)) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) 1) 1))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (* (fabs (cbrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta)))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 60 / 418 ] 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 (/ (/ (/ (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 (/ (/ (/ (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 (/ (/ (/ (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 (47 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (179 enodes)
* * [misc]simplify:  iters left: 2 (263 enodes)
* * [misc]simplify:  iters left: 1 (448 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (/ (/ (/ (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]progress:  [ 61 / 418 ] 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 (/ (/ (/ (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 (/ (/ (/ (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 (/ (/ (/ (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 (44 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (152 enodes)
* * [misc]simplify:  iters left: 2 (207 enodes)
* * [misc]simplify:  iters left: 1 (304 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (sqrt (+ (+ 1.0 alpha) (+ beta 2))) (+ alpha (+ beta 2)))) (cbrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (sqrt (+ (+ 1.0 alpha) (+ beta 2))) (+ alpha (+ beta 2)))) (cbrt (+ alpha (+ beta 2))))) (sqrt (/ (/ (/ (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]progress:  [ 62 / 418 ] 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 (/ (/ (/ (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 (/ (/ (/ (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 (/ (/ (/ (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (143 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (258 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (cbrt (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (cbrt (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha)))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 63 / 418 ] 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 (/ (/ (/ (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 (/ (/ (/ (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 (/ (/ (/ (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 (46 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (172 enodes)
* * [misc]simplify:  iters left: 2 (265 enodes)
* * [misc]simplify:  iters left: 1 (338 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2))))) (* (sqrt (+ beta (+ alpha 2))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2)))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2))))) (* (sqrt (+ beta (+ alpha 2))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2))))))) (sqrt (/ (/ (/ (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]progress:  [ 64 / 418 ] 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 (/ (/ (/ (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 (/ (/ (/ (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 (/ (/ (/ (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 (43 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (203 enodes)
* * [misc]simplify:  iters left: 1 (230 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (sqrt (+ beta (+ alpha 2))))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (sqrt (+ beta (+ alpha 2))))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))) (sqrt (/ (/ (/ (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]progress:  [ 65 / 418 ] 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 (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)) (sqrt (/ (/ (/ (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 (/ (/ (/ (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (213 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (* (cbrt (+ 2 (+ beta alpha))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (* (cbrt (+ 2 (+ beta alpha))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ 2 (+ beta alpha))))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 66 / 418 ] 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 (/ (/ (/ (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 (/ (/ (/ (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 (/ (/ (/ (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 (45 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (240 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha)))))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 67 / 418 ] 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 (/ (/ (/ (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 (/ (/ (/ (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 (/ (/ (/ (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 (42 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2))))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2))))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 68 / 418 ] 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 (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) 1)) (sqrt (/ (/ (/ (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 (/ (/ (/ (sqrt (+ (+ (+ 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 (35 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (123 enodes)
* * [misc]simplify:  iters left: 1 (137 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 69 / 418 ] 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 (/ (/ (/ (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 (/ (/ (/ (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 (/ (/ (/ (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 (46 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (182 enodes)
* * [misc]simplify:  iters left: 2 (261 enodes)
* * [misc]simplify:  iters left: 1 (341 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ beta (+ alpha 2)))) (* (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ beta (+ alpha 2)))) (* (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))))) (sqrt (/ (/ (/ (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]progress:  [ 70 / 418 ] 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 (/ (/ (/ (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 (/ (/ (/ (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 (/ (/ (/ (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 (43 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (150 enodes)
* * [misc]simplify:  iters left: 2 (200 enodes)
* * [misc]simplify:  iters left: 1 (233 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (sqrt (/ (/ (/ (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]progress:  [ 71 / 418 ] 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 (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)) (sqrt (/ (/ (/ (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 (/ (/ (/ (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (158 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ 2 (+ beta alpha))))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 72 / 418 ] 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 (/ (/ (/ (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 (/ (/ (/ (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 (/ (/ (/ (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 (42 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (212 enodes)
* * [misc]simplify:  iters left: 1 (281 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ 2 (+ beta alpha)))) (sqrt (/ (/ (/ (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]progress:  [ 73 / 418 ] 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 (/ (/ (/ (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 (/ (/ (/ (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 (/ (/ (/ (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 (39 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (132 enodes)
* * [misc]simplify:  iters left: 2 (195 enodes)
* * [misc]simplify:  iters left: 1 (223 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (+ beta (+ alpha 2)) (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (+ beta (+ alpha 2)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))) (sqrt (/ (/ (/ (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]progress:  [ 74 / 418 ] 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 (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)) (sqrt (/ (/ (/ (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 (/ (/ (/ (sqrt (+ (+ (+ 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 (34 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (145 enodes)
* * [misc]simplify:  iters left: 1 (153 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (sqrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (+ 2 (+ beta alpha)))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 75 / 418 ] 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 (/ (/ (/ (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 (/ (/ (/ (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 (/ (/ (/ (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 (42 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* * [misc]simplify:  iters left: 2 (199 enodes)
* * [misc]simplify:  iters left: 1 (220 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 76 / 418 ] 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 (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (sqrt (/ (/ (/ (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 (/ (/ (/ (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 (39 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (136 enodes)
* * [misc]simplify:  iters left: 2 (174 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (sqrt (+ beta (+ alpha 2)))))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 77 / 418 ] 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 (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) 1)) (sqrt (/ (/ (/ (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 (/ (/ (/ (sqrt (+ (+ (+ 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 (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 (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha))))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 78 / 418 ] 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 (/ (/ (/ (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 (/ (/ (/ (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 (/ (/ (/ (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 (45 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* * [misc]simplify:  iters left: 2 (267 enodes)
* * [misc]simplify:  iters left: 1 (314 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 79 / 418 ] 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 (/ (/ (/ (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 (/ (/ (/ (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 (/ (/ (/ (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 (42 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (192 enodes)
* * [misc]simplify:  iters left: 1 (206 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2)))))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 80 / 418 ] 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 (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)) (sqrt (/ (/ (/ (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 (/ (/ (/ (sqrt (+ (+ (+ 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 (37 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (128 enodes)
* * [misc]simplify:  iters left: 1 (140 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 81 / 418 ] 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 (/ (/ (/ (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 (/ (/ (/ (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 (/ (/ (/ (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 (42 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (200 enodes)
* * [misc]simplify:  iters left: 1 (217 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ beta (+ alpha 2))))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 82 / 418 ] 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 (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (sqrt (/ (/ (/ (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 (/ (/ (/ (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 (39 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 83 / 418 ] 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 (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)) (sqrt (/ (/ (/ (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 (/ (/ (/ (sqrt (+ (+ (+ 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 (34 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 (129 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 84 / 418 ] 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 (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) (sqrt (/ (/ (/ (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 (/ (/ (/ (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (137 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (177 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 85 / 418 ] 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 (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (sqrt (/ (/ (/ (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 (/ (/ (/ (sqrt (+ (+ (+ 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 (34 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (155 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 86 / 418 ] 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 (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) 1) 1)) (sqrt (/ (/ (/ (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 (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) 1) 1))
* * [misc]simplify:  iters left: 6 (13 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 (98 enodes)
* * [misc]simplify:  iters left: 1 (112 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 87 / 418 ] 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 (/ (/ (/ 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))))) (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 (/ (/ (/ 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 (36 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (203 enodes)
* * [misc]simplify:  iters left: 1 (372 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) (+ 2 1.0)))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) (+ 2 1.0)))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) (+ 2 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)))))))
* * * * [misc]progress:  [ 88 / 418 ] 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 (/ (/ (/ 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)))) (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 (/ (/ (/ 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 (33 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (143 enodes)
* * [misc]simplify:  iters left: 1 (226 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (/ 1 (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (/ 1 (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 89 / 418 ] 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 (/ (/ (/ 1 (* (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 (/ (/ (/ 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 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (102 enodes)
* * [misc]simplify:  iters left: 1 (156 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ 1 (+ (+ 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))))))
* * * * [misc]progress:  [ 90 / 418 ] 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 (/ (/ (/ 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))))) (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 (/ (/ (/ 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 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (120 enodes)
* * [misc]simplify:  iters left: 2 (195 enodes)
* * [misc]simplify:  iters left: 1 (256 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (sqrt (+ (+ beta 2) alpha))) (* (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (cbrt (+ (+ beta 2) alpha))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ 1 (sqrt (+ (+ beta 2) alpha))) (* (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (cbrt (+ (+ beta 2) alpha)))))) (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]progress:  [ 91 / 418 ] 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 (/ (/ (/ 1 (* (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 (/ (/ (/ 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 (32 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (141 enodes)
* * [misc]simplify:  iters left: 1 (153 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (/ 1 (cbrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) 2)))) (sqrt (+ (+ alpha beta) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (/ 1 (cbrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) 2)))) (sqrt (+ (+ alpha beta) (+ 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)))))))
* * * * [misc]progress:  [ 92 / 418 ] 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 (/ (/ (/ 1 (* (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 (/ (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (cbrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ 1 (cbrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) 2))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 93 / 418 ] 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 (/ (/ (/ 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))))) (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 (/ (/ (/ 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 (34 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (* (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) (+ 2 1.0)))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) (+ 2 1.0)))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ 1 (* (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) (+ 2 1.0)))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) (+ 2 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)))))))
* * * * [misc]progress:  [ 94 / 418 ] 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 (/ (/ (/ 1 (* (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 (/ (/ (/ 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 (31 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (cbrt (+ (+ beta 2) alpha))) (* (sqrt (+ (+ 2 1.0) (+ alpha beta))) (cbrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ 1 (cbrt (+ (+ beta 2) alpha))) (* (sqrt (+ (+ 2 1.0) (+ alpha beta))) (cbrt (+ (+ beta 2) alpha))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 95 / 418 ] 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 (/ (/ (/ 1 (* (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 (/ (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) 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 (39 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (cbrt (+ (+ beta 2) alpha))) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ 1 (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))))))
* * * * [misc]progress:  [ 96 / 418 ] 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 (/ (/ (/ 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))))) (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 (/ (/ (/ 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 (35 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (193 enodes)
* * [misc]simplify:  iters left: 1 (259 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (cbrt (+ (+ beta 2) alpha)))) (* (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (cbrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ 1 (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (cbrt (+ (+ beta 2) alpha)))) (* (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (cbrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) alpha))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 97 / 418 ] 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 (/ (/ (/ 1 (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 (/ (/ (/ 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 (32 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (+ 1.0 2)))) (* (cbrt (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) 2)))) (cbrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (+ 1.0 2)))) (* (cbrt (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) 2)))) (cbrt (+ (+ alpha beta) 2)))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 98 / 418 ] 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 (/ (/ (/ 1 (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 (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (77 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 99 / 418 ] 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 (/ (/ (/ 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))))) (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 (/ (/ (/ 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 (31 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (147 enodes)
* * [misc]simplify:  iters left: 1 (205 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (cbrt (+ (+ 1.0 2) (+ alpha beta)))) (* (cbrt (+ (+ 1.0 2) (+ alpha beta))) (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ 1 (cbrt (+ (+ 1.0 2) (+ alpha beta)))) (* (cbrt (+ (+ 1.0 2) (+ alpha beta))) (+ (+ beta 2) alpha)))) (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]progress:  [ 100 / 418 ] 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 (/ (/ (/ 1 (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 (/ (/ (/ 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 (28 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (120 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) (+ 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)))))))
* * * * [misc]progress:  [ 101 / 418 ] 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 (/ (/ (/ 1 (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 (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (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 (29 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ 1 (+ (+ alpha beta) 2))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 102 / 418 ] 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 (/ (/ (/ 1 (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 (/ (/ (/ 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 (31 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (106 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (138 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (cbrt (+ (+ 1.0 2) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ 1 (cbrt (+ (+ 1.0 2) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (+ (+ 1.0 2) (+ alpha beta)))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 103 / 418 ] 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 (/ (/ (/ 1 (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 (/ (/ (/ 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 (28 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (sqrt (+ (+ 1.0 beta) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (sqrt (+ (+ 1.0 beta) (+ alpha 2))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 104 / 418 ] 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 (/ (/ (/ 1 (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 (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) 1) 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 (sqrt (/ 1 (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ 1 (sqrt (+ (+ alpha beta) 2)))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 105 / 418 ] 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 (/ (/ (/ 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))))) (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 (/ (/ (/ 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 (32 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (* (* (cbrt (+ (+ beta 1.0) (+ 2 alpha))) (cbrt (+ beta (+ 2 alpha)))) (* (cbrt (+ (+ beta 1.0) (+ 2 alpha))) (cbrt (+ beta (+ 2 alpha)))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ 1 (* (* (cbrt (+ (+ beta 1.0) (+ 2 alpha))) (cbrt (+ beta (+ 2 alpha)))) (* (cbrt (+ (+ beta 1.0) (+ 2 alpha))) (cbrt (+ beta (+ 2 alpha))))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 106 / 418 ] 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 (/ (/ (/ 1 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 (/ (/ (/ 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 (29 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (102 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (sqrt (+ (+ beta alpha) (+ 2 1.0)))) (* (cbrt (+ (+ 2 alpha) beta)) (cbrt (+ (+ 2 alpha) beta)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ 1 (sqrt (+ (+ beta alpha) (+ 2 1.0)))) (* (cbrt (+ (+ 2 alpha) beta)) (cbrt (+ (+ 2 alpha) beta))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 107 / 418 ] 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 (/ (/ (/ 1 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 (/ (/ (/ 1 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 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 (38 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (cbrt (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ 1 (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))))))
* * * * [misc]progress:  [ 108 / 418 ] 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 (/ (/ (/ 1 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 (/ (/ (/ 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 (29 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (sqrt (+ (+ 2 alpha) beta))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ 1 (sqrt (+ (+ 2 alpha) beta))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 109 / 418 ] 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 (/ (/ (/ 1 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 (/ (/ (/ 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 (26 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (84 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (sqrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ 1 (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (sqrt (+ beta (+ 2 alpha))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 110 / 418 ] 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 (/ (/ (/ 1 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 (/ (/ (/ 1 1) (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 (26 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ 1 (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))))))
* * * * [misc]progress:  [ 111 / 418 ] 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 (/ (/ (/ 1 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 (/ (/ (/ 1 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 (26 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (86 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ 1 (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)))))))
* * * * [misc]progress:  [ 112 / 418 ] 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 (/ (/ (/ 1 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 (/ (/ (/ 1 1) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (84 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt (+ (+ 2 1.0) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ 1 (sqrt (+ (+ 2 1.0) (+ alpha beta))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 113 / 418 ] 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 (/ (/ (/ 1 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 (/ (/ (/ 1 1) 1) 1))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [misc]simplify:  Simplified (2 2 1) to (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 1) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 114 / 418 ] 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 (/ (/ 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 (/ (/ 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 (98 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (* (* (cbrt (+ (+ 1.0 2) (+ alpha beta))) (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ 1.0 2) (+ alpha beta))) (cbrt (+ (+ beta 2) alpha))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ 1 (* (* (cbrt (+ (+ 1.0 2) (+ alpha beta))) (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ 1.0 2) (+ alpha beta))) (cbrt (+ (+ beta 2) alpha)))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 115 / 418 ] 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 (/ (/ 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 (/ (/ 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 (100 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (cbrt (+ (+ alpha beta) 2))) (* (sqrt (+ (+ alpha beta) (+ 1.0 2))) (cbrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ 1 (cbrt (+ (+ alpha beta) 2))) (* (sqrt (+ (+ alpha beta) (+ 1.0 2))) (cbrt (+ (+ alpha beta) 2))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 116 / 418 ] 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 (/ (/ 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 (/ (/ 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 (31 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ 1 (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 117 / 418 ] 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 (/ (/ 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 (/ (/ 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 (82 enodes)
* * [misc]simplify:  iters left: 2 (98 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (cbrt (+ (+ 1.0 beta) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (cbrt (+ (+ 1.0 beta) (+ 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)))))))
* * * * [misc]progress:  [ 118 / 418 ] 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 (/ (/ 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 (/ (/ 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 (73 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (* (sqrt (+ (+ 2 1.0) (+ alpha beta))) (sqrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ 1 (* (sqrt (+ (+ 2 1.0) (+ alpha beta))) (sqrt (+ (+ alpha beta) 2))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 119 / 418 ] 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 (/ (/ 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 (/ (/ 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 (26 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ 1 (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))))))
* * * * [misc]progress:  [ 120 / 418 ] 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 (/ (/ 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 (/ (/ 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 (41 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (76 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (* (cbrt (+ (+ beta alpha) (+ 2 1.0))) (cbrt (+ (+ beta alpha) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ 1 (* (cbrt (+ (+ beta alpha) (+ 2 1.0))) (cbrt (+ (+ beta alpha) (+ 2 1.0)))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 121 / 418 ] 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 (/ (/ 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 (/ (/ 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 (75 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ 1 (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 122 / 418 ] 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 (/ (/ 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 (/ (/ 1 1) 1))
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [misc]simplify:  Simplified (2 2 1) to (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 1) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 123 / 418 ] 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) (* (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 (/ (/ (/ 1 (+ (+ 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)) (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 (146 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (205 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (* (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* [misc]simplify:  Simplified (2 2 1) to (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 1.0) alpha)) (* (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))) (sqrt (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 124 / 418 ] 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) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (sqrt (/ (/ (/ 1 (+ (+ 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 (79 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))) (sqrt (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 125 / 418 ] 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) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)) (sqrt (/ (/ (/ 1 (+ (+ 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))))) 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 (97 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))) (sqrt (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 126 / 418 ] 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) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) (sqrt (/ (/ (/ 1 (+ (+ 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)))) (* (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 (134 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))) (sqrt (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 127 / 418 ] 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) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (sqrt (/ (/ (/ 1 (+ (+ 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)) 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 (120 enodes)
* * [misc]simplify:  iters left: 2 (147 enodes)
* * [misc]simplify:  iters left: 1 (163 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2 1) to (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) (+ 1.0 (+ beta alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ alpha 2) beta)))) (sqrt (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 128 / 418 ] 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) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)) (sqrt (/ (/ (/ 1 (+ (+ 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)))) 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 (124 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (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) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))) (sqrt (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 129 / 418 ] 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) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) (sqrt (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) (* (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 (78 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))))) (sqrt (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 130 / 418 ] 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) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (sqrt (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) (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 (122 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (170 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 131 / 418 ] 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) 1) 1)) (sqrt (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) 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 (73 enodes)
* * [misc]simplify:  iters left: 2 (92 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))
* [misc]simplify:  Simplified (2 2 1) to (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 1.0)) alpha)) (sqrt (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 132 / 418 ] 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) (+ (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))))) (sqrt (/ (/ (+ (* (+ 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 (sqrt (/ (/ (/ (+ (+ (+ 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 (58 enodes)
* * [misc]simplify:  iters left: 4 (143 enodes)
* * [misc]simplify:  iters left: 3 (358 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ (pow 2 3) (pow (+ beta alpha) 3))) (* (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))))
* [misc]simplify:  Simplified (2 2 1) to (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) 1.0) (+ beta alpha)) (+ (pow 2 3) (pow (+ beta alpha) 3))) (* (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))))) (sqrt (/ (/ (+ (* (+ 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]progress:  [ 133 / 418 ] 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) (+ (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)))) (sqrt (/ (/ (+ (* (+ 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 (sqrt (/ (/ (/ (+ (+ (+ 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 (55 enodes)
* * [misc]simplify:  iters left: 4 (133 enodes)
* * [misc]simplify:  iters left: 3 (310 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (/ (+ (* alpha beta) (+ (+ 1.0 alpha) beta)) (+ (pow 2 3) (pow (+ beta alpha) 3))) (* (cbrt (+ alpha (+ 2 beta))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 2 1) to (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) (+ (+ 1.0 alpha) beta)) (+ (pow 2 3) (pow (+ beta alpha) 3))) (* (cbrt (+ alpha (+ 2 beta))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (+ alpha (+ 2 beta))))) (sqrt (/ (/ (+ (* (+ 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]progress:  [ 134 / 418 ] 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) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)) (sqrt (/ (/ (+ (* (+ 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 (sqrt (/ (/ (/ (+ (+ (+ 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 (21 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (121 enodes)
* * [misc]simplify:  iters left: 3 (303 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ beta (+ (+ 1.0 alpha) (* alpha beta))) (+ (pow 2 3) (pow (+ beta alpha) 3))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (+ beta (+ (+ 1.0 alpha) (* alpha beta))) (+ (pow 2 3) (pow (+ beta alpha) 3))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))) (sqrt (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 135 / 418 ] 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) (+ (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))))) (sqrt (/ (/ (+ (* (+ 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 (sqrt (/ (/ (/ (+ (+ (+ 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 (55 enodes)
* * [misc]simplify:  iters left: 4 (133 enodes)
* * [misc]simplify:  iters left: 3 (319 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (* (* (+ (pow 2 3) (pow (+ beta alpha) 3)) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (* (* (+ (pow 2 3) (pow (+ beta alpha) 3)) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (sqrt (+ alpha (+ 2 beta)))))) (sqrt (/ (/ (+ (* (+ 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]progress:  [ 136 / 418 ] 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) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (sqrt (/ (/ (+ (* (+ 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 (sqrt (/ (/ (/ (+ (+ (+ 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 (52 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (283 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ (pow 2 3) (pow (+ beta alpha) 3))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ 1.0 2) (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2 1) to (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) alpha) (+ beta 1.0)) (+ (pow 2 3) (pow (+ beta alpha) 3))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))))) (sqrt (/ (/ (+ (* (+ 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]progress:  [ 137 / 418 ] 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) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)) (sqrt (/ (/ (+ (* (+ 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 (sqrt (/ (/ (/ (+ (+ (+ 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 (20 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (277 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (* (+ (pow 2 3) (pow (+ beta alpha) 3)) (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (* (+ (pow 2 3) (pow (+ beta alpha) 3)) (sqrt (+ alpha (+ 2 beta)))))) (sqrt (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 138 / 418 ] 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) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) (sqrt (/ (/ (+ (* (+ 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 (sqrt (/ (/ (/ (+ (+ (+ 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 (22 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (130 enodes)
* * [misc]simplify:  iters left: 3 (305 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (+ (pow 2 3) (pow (+ beta alpha) 3))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (+ (pow 2 3) (pow (+ beta alpha) 3))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))))) (sqrt (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 139 / 418 ] 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) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (sqrt (/ (/ (+ (* (+ 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 (sqrt (/ (/ (/ (+ (+ (+ 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 (21 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (123 enodes)
* * [misc]simplify:  iters left: 3 (269 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ beta (+ (+ 1.0 alpha) (* alpha beta))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (+ (pow 2 3) (pow (+ beta alpha) 3))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (+ beta (+ (+ 1.0 alpha) (* alpha beta))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (+ (pow 2 3) (pow (+ beta alpha) 3)))) (sqrt (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 140 / 418 ] 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) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) 1) 1)) (sqrt (/ (/ (+ (* (+ 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 (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) 1) 1))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (222 enodes)
* * [misc]simplify:  iters left: 2 (494 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ (pow 2 3) (pow (+ beta alpha) 3))))
* [misc]simplify:  Simplified (2 2 1) to (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) alpha) (+ beta 1.0)) (+ (pow 2 3) (pow (+ beta alpha) 3)))) (sqrt (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 141 / 418 ] 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) (+ 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))))) (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) (- (* (+ 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 (59 enodes)
* * [misc]simplify:  iters left: 4 (160 enodes)
* * [misc]simplify:  iters left: 3 (400 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ alpha (+ beta 2))) (* (cbrt (+ alpha (+ beta 2))) (- alpha (- 2 beta)))) (* (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ alpha (+ beta 2))) (* (cbrt (+ alpha (+ beta 2))) (- alpha (- 2 beta)))) (* (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))) (sqrt (/ (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 142 / 418 ] 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) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 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) (- (* (+ 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 (56 enodes)
* * [misc]simplify:  iters left: 4 (150 enodes)
* * [misc]simplify:  iters left: 3 (360 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (/ (+ (+ (+ 1.0 alpha) beta) (* alpha beta)) (+ (+ beta 2) alpha)) (* (cbrt (+ (+ beta 2) alpha)) (+ alpha (- beta 2)))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (/ (+ (+ (+ 1.0 alpha) beta) (* alpha beta)) (+ (+ beta 2) alpha)) (* (cbrt (+ (+ beta 2) alpha)) (+ alpha (- beta 2)))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (sqrt (/ (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 143 / 418 ] 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) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)) (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) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (* (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 (131 enodes)
* * [misc]simplify:  iters left: 3 (345 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (cbrt (+ alpha (+ beta 2)))) (* (* (+ (+ beta alpha) 2) (- (+ beta alpha) 2)) (cbrt (+ alpha (+ beta 2))))))
* [misc]simplify:  Simplified (2 2 1) to (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) (+ 1.0 (+ beta alpha))) (cbrt (+ alpha (+ beta 2)))) (* (* (+ (+ beta alpha) 2) (- (+ beta alpha) 2)) (cbrt (+ alpha (+ beta 2)))))) (sqrt (/ (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 144 / 418 ] 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) (+ 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))))) (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) (- (* (+ 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 (56 enodes)
* * [misc]simplify:  iters left: 4 (149 enodes)
* * [misc]simplify:  iters left: 3 (426 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ beta (+ (+ 1.0 alpha) (* alpha beta))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (* (sqrt (+ 2 (+ beta alpha))) (* (+ (+ beta alpha) 2) (- (+ beta alpha) 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (+ beta (+ (+ 1.0 alpha) (* alpha beta))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (* (sqrt (+ 2 (+ beta alpha))) (* (+ (+ beta alpha) 2) (- (+ beta alpha) 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))) (sqrt (/ (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 145 / 418 ] 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) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 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) (- (* (+ 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 (53 enodes)
* * [misc]simplify:  iters left: 4 (148 enodes)
* * [misc]simplify:  iters left: 3 (417 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (* (sqrt (+ alpha (+ beta 2))) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (* (sqrt (+ alpha (+ beta 2))) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))))) (sqrt (/ (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 146 / 418 ] 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) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)) (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) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (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 (123 enodes)
* * [misc]simplify:  iters left: 3 (308 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ (+ alpha 2) beta)) (* (sqrt (+ (+ alpha 2) beta)) (- beta (- 2 alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ (+ alpha 2) beta)) (* (sqrt (+ (+ alpha 2) beta)) (- beta (- 2 alpha))))) (sqrt (/ (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 147 / 418 ] 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) (+ alpha beta)) (* (* 2 1) (* 2 1)))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 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) (- (* (+ 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 (21 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (154 enodes)
* * [misc]simplify:  iters left: 3 (441 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (sqrt (/ (/ (- (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 148 / 418 ] 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) (+ alpha beta)) (* (* 2 1) (* 2 1)))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 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) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) 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 (147 enodes)
* * [misc]simplify:  iters left: 3 (388 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (+ (* alpha beta) (+ beta 1.0))) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (/ (/ (- (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 149 / 418 ] 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) (+ alpha beta)) (* (* 2 1) (* 2 1)))) 1) 1)) (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) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) 1) 1))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* * [misc]simplify:  iters left: 3 (307 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ beta (+ 1.0 alpha)) (* alpha beta)) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (+ (+ beta (+ 1.0 alpha)) (* alpha beta)) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2)))) (sqrt (/ (/ (- (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 150 / 418 ] 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 (/ 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 (/ 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 (67 enodes)
* * [misc]simplify:  iters left: 2 (77 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (cbrt (+ (+ 1.0 alpha) (+ beta 2)))) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ 1 (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)))))))
* * * * [misc]progress:  [ 151 / 418 ] 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 (/ 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 (/ 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 (64 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ 1 (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)))))))
* * * * [misc]progress:  [ 152 / 418 ] 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 (/ 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 (/ 1 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [misc]simplify:  Simplified (2 2 1) to (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 1) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 153 / 418 ] 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))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) (sqrt (/ (/ 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))) (* (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 (95 enodes)
* * [misc]simplify:  iters left: 3 (204 enodes)
* * [misc]simplify:  iters left: 2 (292 enodes)
* * [misc]simplify:  iters left: 1 (377 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (+ 2 (+ beta alpha))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 2 1) to (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) (+ 1.0 alpha)) (+ 2 (+ beta alpha))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (sqrt (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 154 / 418 ] 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))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (sqrt (/ (/ 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))) (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 (89 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* * [misc]simplify:  iters left: 2 (198 enodes)
* * [misc]simplify:  iters left: 1 (213 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (+ (+ 2 beta) alpha))) (sqrt (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 155 / 418 ] 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))) 1)) (sqrt (/ (/ 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 (29 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 2 1) to (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) alpha) (+ beta 1.0)) (+ beta (+ alpha 2)))) (sqrt (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 156 / 418 ] 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))) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) (sqrt (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 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))) (+ (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 (54 enodes)
* * [misc]simplify:  iters left: 4 (147 enodes)
* * [misc]simplify:  iters left: 3 (427 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (* (+ 2 (+ beta alpha)) (+ (pow (+ beta alpha) 3) (pow 2 3)))))
* [misc]simplify:  Simplified (2 2 1) to (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) alpha) (+ beta 1.0)) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (* (+ 2 (+ beta alpha)) (+ (pow (+ beta alpha) 3) (pow 2 3))))) (sqrt (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 157 / 418 ] 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))) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (sqrt (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 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))) (+ (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 (51 enodes)
* * [misc]simplify:  iters left: 4 (139 enodes)
* * [misc]simplify:  iters left: 3 (362 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ (+ 2 beta) (+ 1.0 alpha)))) (* (+ alpha (+ 2 beta)) (+ (pow (+ beta alpha) 3) (pow 2 3)))))
* [misc]simplify:  Simplified (2 2 1) to (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) alpha) (+ beta 1.0)) (sqrt (+ (+ 2 beta) (+ 1.0 alpha)))) (* (+ alpha (+ 2 beta)) (+ (pow (+ beta alpha) 3) (pow 2 3))))) (sqrt (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 158 / 418 ] 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))) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) 1)) (sqrt (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 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))) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) 1))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (123 enodes)
* * [misc]simplify:  iters left: 3 (343 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (+ (pow (+ beta alpha) 3) (pow 2 3))) (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (+ (pow (+ beta alpha) 3) (pow 2 3))) (+ alpha (+ 2 beta)))) (sqrt (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 159 / 418 ] 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) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) (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))) (- (* (+ 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 (55 enodes)
* * [misc]simplify:  iters left: 4 (165 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ beta (+ (+ 1.0 alpha) (* alpha beta))) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (+ (- alpha 2) beta))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (+ beta (+ (+ 1.0 alpha) (* alpha beta))) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (+ (- alpha 2) beta)))) (sqrt (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 160 / 418 ] 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) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (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))) (- (* (+ 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 (52 enodes)
* * [misc]simplify:  iters left: 4 (154 enodes)
* * [misc]simplify:  iters left: 3 (466 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (* (* (+ (+ beta alpha) 2) (- (+ beta alpha) 2)) (+ (+ beta alpha) 2))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (* (* (+ (+ beta alpha) 2) (- (+ beta alpha) 2)) (+ (+ beta alpha) 2)))) (sqrt (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 161 / 418 ] 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) (+ alpha beta)) (* (* 2 1) (* 2 1)))) 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))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) 1))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (142 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ (+ 1.0 beta) alpha) (* alpha beta)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) (+ (- alpha 2) beta)))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (/ (+ (+ (+ 1.0 beta) alpha) (* alpha beta)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) (+ (- alpha 2) beta))) (sqrt (/ (- (+ alpha beta) (* 2 1)) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 162 / 418 ] 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 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 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [misc]simplify:  Simplified (2 2 1) to (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 1) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 163 / 418 ] 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)))) (sqrt (/ 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 (202 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (sqrt (/ 1 (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))
* * * * [misc]progress:  [ 164 / 418 ] 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))) (+ (pow (+ (+ alpha beta) (* 2 1)) 3) (pow 1.0 3)))) (sqrt (+ (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (- (* 1.0 1.0) (* (+ (+ alpha beta) (* 2 1)) 1.0)))))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (pow (+ (+ alpha beta) (* 2 1)) 3) (pow 1.0 3))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (119 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (+ (pow (+ 2 (+ beta alpha)) 3) (pow 1.0 3))))
* [misc]simplify:  Simplified (2 2 1) to (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) (+ 1.0 (+ beta alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (+ (pow (+ 2 (+ beta alpha)) 3) (pow 1.0 3)))) (sqrt (+ (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (- (* 1.0 1.0) (* (+ (+ alpha beta) (* 2 1)) 1.0)))))))
* * * * [misc]progress:  [ 165 / 418 ] 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)) (+ (+ alpha beta) (* 2 1))) (* 1.0 1.0)))) (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))) (- (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (* 1.0 1.0))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (158 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ beta (+ alpha 2))) (* (* (+ beta (+ alpha 2)) (+ (+ 1.0 2) (+ beta alpha))) (+ (+ alpha 2) (- beta 1.0)))))
* [misc]simplify:  Simplified (2 2 1) to (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) 1.0) (+ beta alpha)) (+ beta (+ alpha 2))) (* (* (+ beta (+ alpha 2)) (+ (+ 1.0 2) (+ beta alpha))) (+ (+ alpha 2) (- beta 1.0))))) (sqrt (- (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 166 / 418 ] 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)))) (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))))
* * [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 (202 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (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 (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 167 / 418 ] 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 (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (sqrt (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))))>
* * * * [misc]progress:  [ 168 / 418 ] 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))) (fabs (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 (107 enodes)
* * [misc]simplify:  iters left: 3 (452 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ (+ 2 beta) alpha) (* (+ (+ 2 beta) alpha) (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (fabs (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ (+ 2 beta) alpha) (* (+ (+ 2 beta) alpha) (+ (+ beta 1.0) (+ alpha 2)))))))))
* * * * [misc]progress:  [ 169 / 418 ] 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))) (fabs (/ (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 (87 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (fabs (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 170 / 418 ] 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))) (fabs (/ (/ (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 (123 enodes)
* * [misc]simplify:  iters left: 2 (151 enodes)
* * [misc]simplify:  iters left: 1 (166 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (fabs (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2))))))))
* * * * [misc]progress:  [ 171 / 418 ] 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))) (fabs (/ (/ (/ (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 (213 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (fabs (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta alpha) (+ 1.0 2))))))))
* * * * [misc]progress:  [ 172 / 418 ] 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))) (* 1 (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))))>
* * * * [misc]progress:  [ 173 / 418 ] 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)) 1/2) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 174 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (pow (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) 1) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 175 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (exp (log (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:  [ 176 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (log (exp (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:  [ 177 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (* (cbrt (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (cbrt (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) (cbrt (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:  [ 178 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (cbrt (* (* (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)))) (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:  [ 179 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (* (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))))) (sqrt (cbrt (/ (/ (/ (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (* (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]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (110 enodes)
* * [misc]simplify:  iters left: 3 (461 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ beta 1.0) (+ alpha 2))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (fabs (cbrt (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ beta 1.0) (+ alpha 2))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha))))) (sqrt (cbrt (/ (/ (/ (+ (+ (+ 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:  [ 180 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (sqrt (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)))))>
* [enter]simplify:  Simplifying (sqrt (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 (37 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (462 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ (+ 1.0 alpha) (+ 2 beta))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (sqrt (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ (+ 1.0 alpha) (+ 2 beta))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))) (sqrt (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:  [ 181 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (* (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))))) (sqrt (/ (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (* (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 (44 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (258 enodes)
* [exit]simplify:  Simplified to (fabs (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (fabs (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))) (sqrt (/ (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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:  [ 182 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (* (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)))) (sqrt (/ (cbrt (/ (/ (+ (+ (+ 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))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (* (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 (39 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (244 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (cbrt (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (/ (sqrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (cbrt (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (/ (sqrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha))))))) (sqrt (/ (cbrt (/ (/ (+ (+ (+ 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))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 183 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (* (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)) (sqrt (/ (cbrt (/ (/ (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (* (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 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (220 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (fabs (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))) (sqrt (/ (cbrt (/ (/ (+ (+ (+ 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:  [ 184 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (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 (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (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 (39 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (241 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (sqrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))))) (sqrt (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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:  [ 185 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (sqrt (/ (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))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (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 (36 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (235 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (sqrt (+ (+ 2 beta) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (sqrt (+ (+ 2 beta) (+ 1.0 alpha))))) (sqrt (/ (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))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 186 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) 1)) (sqrt (/ (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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (sqrt (/ (/ (+ (+ (+ 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 (31 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (205 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta))))) (sqrt (/ (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:  [ 187 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (* (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))))) (sqrt (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (* (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 (48 enodes)
* * [misc]simplify:  iters left: 4 (115 enodes)
* * [misc]simplify:  iters left: 3 (235 enodes)
* * [misc]simplify:  iters left: 2 (374 enodes)
* * [misc]simplify:  iters left: 1 (444 enodes)
* [exit]simplify:  Simplified to (fabs (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (fabs (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))) (sqrt (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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:  [ 188 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (* (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)))) (sqrt (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (* (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 (45 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (178 enodes)
* * [misc]simplify:  iters left: 2 (240 enodes)
* * [misc]simplify:  iters left: 1 (275 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (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))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (* (/ (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))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))))) (sqrt (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 189 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (* (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)) (sqrt (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (* (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (153 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (fabs (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (fabs (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2))))) (sqrt (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 190 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (* (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))))) (sqrt (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (* (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 (43 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (176 enodes)
* * [misc]simplify:  iters left: 2 (242 enodes)
* * [misc]simplify:  iters left: 1 (274 enodes)
* [exit]simplify:  Simplified to (sqrt (* (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ beta (+ alpha 2)))) (/ (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (* (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ beta (+ alpha 2)))) (/ (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (sqrt (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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:  [ 191 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (* (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)))) (sqrt (/ (/ (cbrt (/ (+ (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (* (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 (40 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (179 enodes)
* * [misc]simplify:  iters left: 1 (196 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (* (/ (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ beta (+ alpha 2)))))) (sqrt (/ (/ (cbrt (/ (+ (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 192 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (* (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)) (sqrt (/ (/ (cbrt (/ (+ (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (* (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 (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 (240 enodes)
* * [misc]simplify:  iters left: 1 (399 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))) (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (* (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))) (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (+ 2 beta) alpha))))) (sqrt (/ (/ (cbrt (/ (+ (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 193 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (* (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))))) (sqrt (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (* (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 (42 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (192 enodes)
* * [misc]simplify:  iters left: 2 (330 enodes)
* * [misc]simplify:  iters left: 1 (389 enodes)
* [exit]simplify:  Simplified to (fabs (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (+ alpha 2) beta))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (fabs (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (+ alpha 2) beta))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (sqrt (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ 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:  [ 194 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (* (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)))) (sqrt (/ (/ (cbrt (/ (+ (+ (+ 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))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (* (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 (39 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (156 enodes)
* * [misc]simplify:  iters left: 2 (247 enodes)
* * [misc]simplify:  iters left: 1 (266 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ 2 beta) alpha))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (* (/ (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ 2 beta) alpha))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ 2 beta) alpha))))) (sqrt (/ (/ (cbrt (/ (+ (+ (+ 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))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 195 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) 1) 1)) (sqrt (/ (/ (cbrt (/ (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (* (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 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (fabs (cbrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ 2 (+ beta alpha))))) (sqrt (/ (/ (cbrt (/ (+ (+ (+ 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:  [ 196 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (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 (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (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 (43 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (147 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (/ (+ (+ 1.0 alpha) (+ (* alpha beta) beta)) (+ beta (+ alpha 2)))) (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2)))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (sqrt (/ (+ (+ 1.0 alpha) (+ (* alpha beta) beta)) (+ beta (+ alpha 2)))) (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2)))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2))))))) (sqrt (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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:  [ 197 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (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 (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (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 (40 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (176 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ 2 (+ beta alpha)))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ 2 (+ beta alpha)))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (sqrt (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 198 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)) (sqrt (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (123 enodes)
* * [misc]simplify:  iters left: 1 (137 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))) (sqrt (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 199 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (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 (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (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 (40 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (176 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) 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 1) to (λ (alpha beta) (* (* (sqrt (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ 2 (+ beta alpha)))) (* (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (sqrt (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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:  [ 200 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (sqrt (/ (/ (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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (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 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (171 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (sqrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (sqrt (/ (/ (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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 201 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)) (sqrt (/ (/ (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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (sqrt (/ (+ (+ (+ 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 (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 (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))) (sqrt (/ (/ (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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 202 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (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 (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (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 (39 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (171 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ beta (+ alpha 2)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ beta (+ alpha 2)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))) (sqrt (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ 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:  [ 203 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (sqrt (/ (/ (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))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (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 (36 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (153 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (sqrt (/ (/ (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))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 204 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) 1) 1)) (sqrt (/ (/ (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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) 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) (+ (+ beta 1.0) alpha)) (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ 2 beta) alpha)))) (sqrt (/ (/ (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:  [ 205 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (* (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))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (* (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 (52 enodes)
* * [misc]simplify:  iters left: 4 (130 enodes)
* * [misc]simplify:  iters left: 3 (302 enodes)
* [exit]simplify:  Simplified to (fabs (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (fabs (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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:  [ 206 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (* (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)))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (* (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 (49 enodes)
* * [misc]simplify:  iters left: 4 (120 enodes)
* * [misc]simplify:  iters left: 3 (251 enodes)
* * [misc]simplify:  iters left: 2 (442 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (* (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (+ (+ 2 beta) alpha)))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 207 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (* (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)) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (* (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (250 enodes)
* [exit]simplify:  Simplified to (fabs (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (fabs (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 208 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (* (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))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (* (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 (51 enodes)
* * [misc]simplify:  iters left: 4 (121 enodes)
* * [misc]simplify:  iters left: 3 (279 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta))))) (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (* (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta))))) (sqrt (+ (+ alpha 2) beta)))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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:  [ 209 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (* (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)))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (* (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 (48 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (229 enodes)
* * [misc]simplify:  iters left: 2 (381 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta)))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 210 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (* (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)) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (* (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 (20 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (203 enodes)
* * [misc]simplify:  iters left: 2 (494 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (sqrt (+ alpha (+ 2 beta)))) (/ (cbrt (+ (+ (* 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 (* (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (sqrt (+ alpha (+ 2 beta)))) (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 211 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (* (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))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (* (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 (50 enodes)
* * [misc]simplify:  iters left: 4 (126 enodes)
* * [misc]simplify:  iters left: 3 (302 enodes)
* [exit]simplify:  Simplified to (fabs (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (fabs (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ 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:  [ 212 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (* (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)))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ 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))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (* (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 (47 enodes)
* * [misc]simplify:  iters left: 4 (111 enodes)
* * [misc]simplify:  iters left: 3 (238 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ 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))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 213 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (* (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)) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (* (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (153 enodes)
* * [misc]simplify:  iters left: 2 (375 enodes)
* [exit]simplify:  Simplified to (fabs (/ (cbrt (+ (+ 1.0 beta) (+ (* alpha beta) alpha))) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (fabs (/ (cbrt (+ (+ 1.0 beta) (+ (* alpha beta) alpha))) (cbrt (+ beta (+ alpha 2))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ 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:  [ 214 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (* (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))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (* (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 (49 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (256 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 1.0 2) (+ beta alpha)))))) (/ (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 1.0 2) (+ beta alpha)))))) (/ (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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:  [ 215 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (* (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)))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (* (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 (46 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (214 enodes)
* * [misc]simplify:  iters left: 2 (369 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (cbrt (+ (+ 1.0 beta) (+ (* alpha beta) alpha))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (/ (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (cbrt (+ (+ 1.0 beta) (+ (* alpha beta) alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (cbrt (+ (+ 1.0 beta) (+ (* alpha beta) alpha))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (/ (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (cbrt (+ (+ 1.0 beta) (+ (* alpha beta) alpha)))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 216 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (* (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)) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (* (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 (20 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (188 enodes)
* * [misc]simplify:  iters left: 2 (478 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (* (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 217 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (* (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))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (* (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 (45 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (179 enodes)
* * [misc]simplify:  iters left: 2 (327 enodes)
* [exit]simplify:  Simplified to (fabs (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (fabs (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (sqrt (+ (+ 2 beta) alpha))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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:  [ 218 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (* (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)))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ 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) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (* (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 (42 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (160 enodes)
* * [misc]simplify:  iters left: 2 (248 enodes)
* * [misc]simplify:  iters left: 1 (300 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (* (+ beta (+ alpha 2)) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (* (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (* (+ beta (+ alpha 2)) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ 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) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 219 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (* (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)) (sqrt (/ (/ (/ (cbrt (+ (+ (+ 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) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (* (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (253 enodes)
* [exit]simplify:  Simplified to (fabs (/ (cbrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (fabs (/ (cbrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (sqrt (+ (+ 2 beta) alpha)))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ 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) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 220 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (* (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))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (* (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 (45 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (224 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (sqrt (+ beta (+ alpha 2)))) (/ (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (sqrt (+ beta (+ alpha 2)))) (/ (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta)))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ 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:  [ 221 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (* (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)))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ 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))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (* (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 (42 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (177 enodes)
* * [misc]simplify:  iters left: 2 (341 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ 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))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 222 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) 1)) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (* (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 (18 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 (254 enodes)
* * [misc]simplify:  iters left: 1 (405 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ 2 beta) alpha))) (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (* (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ 2 beta) alpha))) (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ 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:  [ 223 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (* (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))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (* (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 (48 enodes)
* * [misc]simplify:  iters left: 4 (120 enodes)
* * [misc]simplify:  iters left: 3 (273 enodes)
* [exit]simplify:  Simplified to (fabs (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (fabs (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ alpha (+ 2 beta)))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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:  [ 224 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (* (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)))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (* (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 (45 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (242 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (sqrt (+ (+ 2 beta) (+ 1.0 alpha)))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (sqrt (+ (+ 2 beta) (+ 1.0 alpha)))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 225 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (* (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)) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (* (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (183 enodes)
* * [misc]simplify:  iters left: 2 (368 enodes)
* * [misc]simplify:  iters left: 1 (438 enodes)
* [exit]simplify:  Simplified to (fabs (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (fabs (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (+ (+ 2 beta) alpha)))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 226 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (* (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))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (* (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 (45 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (218 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (* (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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:  [ 227 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (* (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)))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (* (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 (42 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (194 enodes)
* * [misc]simplify:  iters left: 2 (404 enodes)
* [exit]simplify:  Simplified to (sqrt (* (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (* (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 228 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)) (sqrt (/ (/ (/ (cbrt (+ (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (* (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (153 enodes)
* * [misc]simplify:  iters left: 2 (287 enodes)
* * [misc]simplify:  iters left: 1 (305 enodes)
* [exit]simplify:  Simplified to (sqrt (* (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) (* (* (sqrt (* (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 229 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (* (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))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (* (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 (20 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (193 enodes)
* * [misc]simplify:  iters left: 2 (360 enodes)
* * [misc]simplify:  iters left: 1 (402 enodes)
* [exit]simplify:  Simplified to (fabs (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (fabs (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ 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:  [ 230 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ 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))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (* (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (156 enodes)
* * [misc]simplify:  iters left: 2 (246 enodes)
* * [misc]simplify:  iters left: 1 (267 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ (+ beta 1.0) (+ 2 alpha)))) (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (* (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ (+ beta 1.0) (+ 2 alpha)))) (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ 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))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 231 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) 1) 1)) (sqrt (/ (/ (/ (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) 1) 1))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (fabs (cbrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta)))) (sqrt (/ (/ (/ (cbrt (+ (+ (+ 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:  [ 232 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (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 (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (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 (47 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (179 enodes)
* * [misc]simplify:  iters left: 2 (263 enodes)
* * [misc]simplify:  iters left: 1 (448 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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:  [ 233 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (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 (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (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 (44 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (152 enodes)
* * [misc]simplify:  iters left: 2 (207 enodes)
* * [misc]simplify:  iters left: 1 (304 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (sqrt (+ (+ 1.0 alpha) (+ beta 2))) (+ alpha (+ beta 2)))) (cbrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (sqrt (+ (+ 1.0 alpha) (+ beta 2))) (+ alpha (+ beta 2)))) (cbrt (+ alpha (+ beta 2))))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 234 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (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 (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (143 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (258 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (cbrt (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (cbrt (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha)))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 235 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (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 (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (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 (46 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (172 enodes)
* * [misc]simplify:  iters left: 2 (265 enodes)
* * [misc]simplify:  iters left: 1 (338 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2))))) (* (sqrt (+ beta (+ alpha 2))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2))))) (* (sqrt (+ beta (+ alpha 2))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2))))))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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:  [ 236 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (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 (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (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 (43 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (203 enodes)
* * [misc]simplify:  iters left: 1 (230 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (sqrt (+ beta (+ alpha 2))))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (sqrt (+ beta (+ alpha 2))))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 237 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (213 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (sqrt (+ (+ 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) (* (* (sqrt (/ (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (* (cbrt (+ 2 (+ beta alpha))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ 2 (+ beta alpha))))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 238 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (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 (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (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 (45 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (240 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha)))))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ 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:  [ 239 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (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 (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ 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))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (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 (42 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2))))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2))))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ 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))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 240 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) 1)) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (sqrt (+ (+ (+ 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 (35 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (123 enodes)
* * [misc]simplify:  iters left: 1 (137 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ 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:  [ 241 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (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 (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (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 (46 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (182 enodes)
* * [misc]simplify:  iters left: 2 (261 enodes)
* * [misc]simplify:  iters left: 1 (341 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ beta (+ alpha 2)))) (* (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ beta (+ alpha 2)))) (* (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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:  [ 242 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (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 (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (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 (43 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (150 enodes)
* * [misc]simplify:  iters left: 2 (200 enodes)
* * [misc]simplify:  iters left: 1 (233 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 243 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (158 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ 2 (+ beta alpha))))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 244 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (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 (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (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 (42 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (212 enodes)
* * [misc]simplify:  iters left: 1 (281 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ 2 (+ beta alpha)))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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:  [ 245 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (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 (/ (/ (/ (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) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (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 (39 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (132 enodes)
* * [misc]simplify:  iters left: 2 (195 enodes)
* * [misc]simplify:  iters left: 1 (223 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (+ beta (+ alpha 2)) (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (+ beta (+ alpha 2)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))) (sqrt (/ (/ (/ (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) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 246 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)) (sqrt (/ (/ (/ (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) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (sqrt (+ (+ (+ 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 (34 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (145 enodes)
* * [misc]simplify:  iters left: 1 (153 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (sqrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (+ 2 (+ beta alpha)))) (sqrt (/ (/ (/ (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) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 247 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (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 (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (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 (42 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* * [misc]simplify:  iters left: 2 (199 enodes)
* * [misc]simplify:  iters left: 1 (220 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ 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:  [ 248 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ 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))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (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 (39 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (136 enodes)
* * [misc]simplify:  iters left: 2 (174 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (sqrt (+ beta (+ alpha 2)))))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ 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))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 249 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) 1)) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (sqrt (+ (+ (+ 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 (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 (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha))))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ 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:  [ 250 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (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 (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (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 (45 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* * [misc]simplify:  iters left: 2 (267 enodes)
* * [misc]simplify:  iters left: 1 (314 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (* (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 1) to (λ (alpha beta) (* (* (sqrt (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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:  [ 251 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (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 (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (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 (42 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (192 enodes)
* * [misc]simplify:  iters left: 1 (206 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2)))))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 252 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (sqrt (+ (+ (+ 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 (37 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (128 enodes)
* * [misc]simplify:  iters left: 1 (140 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 253 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (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 (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (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 (42 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (200 enodes)
* * [misc]simplify:  iters left: 1 (217 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ beta (+ alpha 2))))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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:  [ 254 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (sqrt (/ (/ (/ (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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (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 (39 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))))) (sqrt (/ (/ (/ (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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 255 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)) (sqrt (/ (/ (/ (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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (sqrt (+ (+ (+ 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 (34 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 (129 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))) (sqrt (/ (/ (/ (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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 256 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (137 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (177 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))) (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ 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:  [ 257 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (sqrt (/ (/ (/ (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))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (sqrt (+ (+ (+ 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 (34 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (155 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (/ (/ (/ (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))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 258 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) 1) 1)) (sqrt (/ (/ (/ (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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) 1) 1))
* * [misc]simplify:  iters left: 6 (13 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 (98 enodes)
* * [misc]simplify:  iters left: 1 (112 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (sqrt (/ (/ (/ (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:  [ 259 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ 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))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ 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 (36 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (203 enodes)
* * [misc]simplify:  iters left: 1 (372 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) (+ 2 1.0)))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) (+ 2 1.0)))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) (+ 2 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))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 260 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ 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)))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ 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 (33 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (143 enodes)
* * [misc]simplify:  iters left: 1 (226 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (/ 1 (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (/ 1 (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 261 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ 1 (* (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)))) (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 (/ (/ (/ 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 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (102 enodes)
* * [misc]simplify:  iters left: 1 (156 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ 1 (+ (+ 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)))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 262 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ 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))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ 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 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (120 enodes)
* * [misc]simplify:  iters left: 2 (195 enodes)
* * [misc]simplify:  iters left: 1 (256 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (sqrt (+ (+ beta 2) alpha))) (* (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (cbrt (+ (+ beta 2) alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ 1 (sqrt (+ (+ beta 2) alpha))) (* (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (cbrt (+ (+ beta 2) alpha)))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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:  [ 263 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ 1 (* (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))))) (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 (/ (/ (/ 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 (32 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (141 enodes)
* * [misc]simplify:  iters left: 1 (153 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (/ 1 (cbrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) 2)))) (sqrt (+ (+ alpha beta) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (/ 1 (cbrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) 2)))) (sqrt (+ (+ alpha beta) (+ 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))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 264 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ 1 (* (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)))) (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 (/ (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (cbrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ 1 (cbrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) 2))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 265 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ 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))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ 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 (34 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (* (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) (+ 2 1.0)))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) (+ 2 1.0)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ 1 (* (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) (+ 2 1.0)))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) (+ 2 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))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 266 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ 1 (* (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))))) (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 (/ (/ (/ 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 (31 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (cbrt (+ (+ beta 2) alpha))) (* (sqrt (+ (+ 2 1.0) (+ alpha beta))) (cbrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ 1 (cbrt (+ (+ beta 2) alpha))) (* (sqrt (+ (+ 2 1.0) (+ alpha beta))) (cbrt (+ (+ beta 2) alpha))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ 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))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 267 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ 1 (* (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)))) (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 (/ (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) 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 (39 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (cbrt (+ (+ beta 2) alpha))) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ 1 (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)))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 268 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ 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))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ 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 (35 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (193 enodes)
* * [misc]simplify:  iters left: 1 (259 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (cbrt (+ (+ beta 2) alpha)))) (* (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (cbrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ 1 (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (cbrt (+ (+ beta 2) alpha)))) (* (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (cbrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) alpha))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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:  [ 269 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ 1 (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))))) (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 (/ (/ (/ 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 (32 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (+ 1.0 2)))) (* (cbrt (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) 2)))) (cbrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (+ 1.0 2)))) (* (cbrt (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) 2)))) (cbrt (+ (+ alpha beta) 2)))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 270 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ 1 (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)))) (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 (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (77 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 271 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ 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))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ 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 (31 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (147 enodes)
* * [misc]simplify:  iters left: 1 (205 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (cbrt (+ (+ 1.0 2) (+ alpha beta)))) (* (cbrt (+ (+ 1.0 2) (+ alpha beta))) (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ 1 (cbrt (+ (+ 1.0 2) (+ alpha beta)))) (* (cbrt (+ (+ 1.0 2) (+ alpha beta))) (+ (+ beta 2) alpha)))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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:  [ 272 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ 1 (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))))) (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 (/ (/ (/ 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 (28 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (120 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) (+ 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))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 273 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ 1 (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)))) (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 (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (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 (29 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ 1 (+ (+ alpha beta) 2))) (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) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 274 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ 1 (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))))) (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 (/ (/ (/ 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 (31 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (106 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (138 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (cbrt (+ (+ 1.0 2) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ 1 (cbrt (+ (+ 1.0 2) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (+ (+ 1.0 2) (+ alpha beta)))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ 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:  [ 275 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ 1 (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))))) (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 (/ (/ (/ 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 (28 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (sqrt (+ (+ 1.0 beta) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (sqrt (+ (+ 1.0 beta) (+ alpha 2))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ 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))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 276 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ 1 (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)))) (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 (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) 1) 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 (sqrt (/ 1 (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ 1 (sqrt (+ (+ alpha beta) 2)))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ 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:  [ 277 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ 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))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ 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 (32 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (* (* (cbrt (+ (+ beta 1.0) (+ 2 alpha))) (cbrt (+ beta (+ 2 alpha)))) (* (cbrt (+ (+ beta 1.0) (+ 2 alpha))) (cbrt (+ beta (+ 2 alpha)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ 1 (* (* (cbrt (+ (+ beta 1.0) (+ 2 alpha))) (cbrt (+ beta (+ 2 alpha)))) (* (cbrt (+ (+ beta 1.0) (+ 2 alpha))) (cbrt (+ beta (+ 2 alpha))))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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:  [ 278 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ 1 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))))) (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 (/ (/ (/ 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 (29 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (102 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (sqrt (+ (+ beta alpha) (+ 2 1.0)))) (* (cbrt (+ (+ 2 alpha) beta)) (cbrt (+ (+ 2 alpha) beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ 1 (sqrt (+ (+ beta alpha) (+ 2 1.0)))) (* (cbrt (+ (+ 2 alpha) beta)) (cbrt (+ (+ 2 alpha) beta))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 279 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ 1 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)))) (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 (/ (/ (/ 1 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 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 (38 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (cbrt (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ 1 (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)))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 280 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ 1 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))))) (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 (/ (/ (/ 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 (29 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (sqrt (+ (+ 2 alpha) beta))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ 1 (sqrt (+ (+ 2 alpha) beta))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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:  [ 281 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ 1 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))))) (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 (/ (/ (/ 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 (26 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (84 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (sqrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ 1 (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (sqrt (+ beta (+ 2 alpha))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 282 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ 1 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)))) (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 (/ (/ (/ 1 1) (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 (26 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ 1 (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)))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 283 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ 1 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))))) (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 (/ (/ (/ 1 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 (26 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (86 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ 1 (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))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 284 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ 1 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))))) (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 (/ (/ (/ 1 1) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (84 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt (+ (+ 2 1.0) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ 1 (sqrt (+ (+ 2 1.0) (+ 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))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 285 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ 1 1) 1) 1)) (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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ 1 1) 1) 1))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt 1) (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:  [ 286 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ 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))))) (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 (/ (/ 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 (98 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (* (* (cbrt (+ (+ 1.0 2) (+ alpha beta))) (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ 1.0 2) (+ alpha beta))) (cbrt (+ (+ beta 2) alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ 1 (* (* (cbrt (+ (+ 1.0 2) (+ alpha beta))) (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ 1.0 2) (+ alpha beta))) (cbrt (+ (+ beta 2) alpha)))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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:  [ 287 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ 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))))) (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 (/ (/ 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 (100 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (cbrt (+ (+ alpha beta) 2))) (* (sqrt (+ (+ alpha beta) (+ 1.0 2))) (cbrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ 1 (cbrt (+ (+ alpha beta) 2))) (* (sqrt (+ (+ alpha beta) (+ 1.0 2))) (cbrt (+ (+ alpha beta) 2))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 288 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ 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)))) (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 (/ (/ 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 (31 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ 1 (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 289 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ 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))))) (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 (/ (/ 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 (82 enodes)
* * [misc]simplify:  iters left: 2 (98 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (cbrt (+ (+ 1.0 beta) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (cbrt (+ (+ 1.0 beta) (+ 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))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 290 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ 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))))) (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 (/ (/ 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 (73 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (* (sqrt (+ (+ 2 1.0) (+ alpha beta))) (sqrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ 1 (* (sqrt (+ (+ 2 1.0) (+ alpha beta))) (sqrt (+ (+ alpha beta) 2))))) (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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 291 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ 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)))) (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 (/ (/ 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 (26 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ 1 (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)))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 292 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ 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))))) (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 (/ (/ 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 (41 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (76 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (* (cbrt (+ (+ beta alpha) (+ 2 1.0))) (cbrt (+ (+ beta alpha) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ 1 (* (cbrt (+ (+ beta alpha) (+ 2 1.0))) (cbrt (+ (+ beta alpha) (+ 2 1.0)))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ 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:  [ 293 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ 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))))) (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 (/ (/ 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 (75 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ 1 (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (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))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 294 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ 1 1) 1)) (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)))))>
* [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 (sqrt 1)
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt 1) (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:  [ 295 / 418 ] 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)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) (sqrt (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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)))))>
* [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)) (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 (146 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (205 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (* (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (* (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))) (sqrt (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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:  [ 296 / 418 ] 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)) 1.0)))) (sqrt (/ (/ (/ 1 (+ (+ 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))) (+ (+ 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)) 1.0))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (* (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)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))) (sqrt (/ (/ (/ 1 (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 297 / 418 ] 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 (/ (/ (/ 1 (+ (+ 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))) (+ (+ 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 (97 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))) (sqrt (/ (/ (/ 1 (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 298 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (+ (+ (+ 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))))) (sqrt (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (+ (+ (+ 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 (38 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))) (sqrt (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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:  [ 299 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (sqrt (/ (/ (/ 1 (+ (+ 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))) (+ (+ 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)) 1.0))))
* * [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 (120 enodes)
* * [misc]simplify:  iters left: 2 (147 enodes)
* * [misc]simplify:  iters left: 1 (163 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (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 1.0)))) (sqrt (+ (+ alpha 2) beta)))) (sqrt (/ (/ (/ 1 (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 300 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)) (sqrt (/ (/ (/ 1 (+ (+ 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))) (+ (+ 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))) (sqrt (/ (/ (/ 1 (+ (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 301 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) (sqrt (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (+ (+ (+ 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))))) (sqrt (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ 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:  [ 302 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (sqrt (/ (/ (/ 1 (+ (+ 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))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 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 (122 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (170 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (/ (/ (/ 1 (+ (+ 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))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 303 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) 1)) (sqrt (/ (/ (/ 1 (+ (+ 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)))))>
* [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 (45 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (92 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (sqrt (/ (/ (/ 1 (+ (+ 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:  [ 304 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (+ (+ (+ 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))))) (sqrt (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (+ (+ (+ 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 (58 enodes)
* * [misc]simplify:  iters left: 4 (143 enodes)
* * [misc]simplify:  iters left: 3 (358 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ (pow 2 3) (pow (+ beta alpha) 3))) (* (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ (pow 2 3) (pow (+ beta alpha) 3))) (* (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))))) (sqrt (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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:  [ 305 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (+ (+ (+ 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)))) (sqrt (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (+ (+ (+ 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 (55 enodes)
* * [misc]simplify:  iters left: 4 (133 enodes)
* * [misc]simplify:  iters left: 3 (310 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (/ (+ (* alpha beta) (+ (+ 1.0 alpha) beta)) (+ (pow 2 3) (pow (+ beta alpha) 3))) (* (cbrt (+ alpha (+ 2 beta))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (/ (+ (* alpha beta) (+ (+ 1.0 alpha) beta)) (+ (pow 2 3) (pow (+ beta alpha) 3))) (* (cbrt (+ alpha (+ 2 beta))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (+ alpha (+ 2 beta))))) (sqrt (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 306 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (+ (+ (+ 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)) (sqrt (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (+ (+ (+ 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 (21 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (121 enodes)
* * [misc]simplify:  iters left: 3 (303 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ beta (+ (+ 1.0 alpha) (* alpha beta))) (+ (pow 2 3) (pow (+ beta alpha) 3))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (+ beta (+ (+ 1.0 alpha) (* alpha beta))) (+ (pow 2 3) (pow (+ beta alpha) 3))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))) (sqrt (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 307 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (+ (+ (+ 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))))) (sqrt (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (+ (+ (+ 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 (55 enodes)
* * [misc]simplify:  iters left: 4 (133 enodes)
* * [misc]simplify:  iters left: 3 (319 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (* (* (+ (pow 2 3) (pow (+ beta alpha) 3)) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (* (* (+ (pow 2 3) (pow (+ beta alpha) 3)) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (sqrt (+ alpha (+ 2 beta)))))) (sqrt (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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:  [ 308 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (+ (+ (+ 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)))) (sqrt (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (+ (+ (+ 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 (52 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (283 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ (pow 2 3) (pow (+ beta alpha) 3))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ 1.0 2) (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ (pow 2 3) (pow (+ beta alpha) 3))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))))) (sqrt (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 309 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)) (sqrt (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (+ (+ (+ 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 (20 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (277 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (* (+ (pow 2 3) (pow (+ beta alpha) 3)) (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (* (+ (pow 2 3) (pow (+ beta alpha) 3)) (sqrt (+ alpha (+ 2 beta)))))) (sqrt (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 310 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (+ (+ (+ 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))))) (sqrt (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (+ (+ (+ 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 (22 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (130 enodes)
* * [misc]simplify:  iters left: 3 (305 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (+ (pow 2 3) (pow (+ beta alpha) 3))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (+ (pow 2 3) (pow (+ beta alpha) 3))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))))) (sqrt (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ 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:  [ 311 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (sqrt (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ 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))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (+ (+ (+ 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 (21 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (123 enodes)
* * [misc]simplify:  iters left: 3 (269 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ beta (+ (+ 1.0 alpha) (* alpha beta))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (+ (pow 2 3) (pow (+ beta alpha) 3))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (+ beta (+ (+ 1.0 alpha) (* alpha beta))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (+ (pow 2 3) (pow (+ beta alpha) 3)))) (sqrt (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ 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))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 312 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) 1) 1)) (sqrt (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) 1) 1))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (222 enodes)
* * [misc]simplify:  iters left: 2 (494 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ (pow 2 3) (pow (+ beta alpha) 3))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ (pow 2 3) (pow (+ beta alpha) 3)))) (sqrt (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ 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:  [ 313 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (+ (+ (+ 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))))) (sqrt (/ (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (+ (+ (+ 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 (59 enodes)
* * [misc]simplify:  iters left: 4 (160 enodes)
* * [misc]simplify:  iters left: 3 (400 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ alpha (+ beta 2))) (* (cbrt (+ alpha (+ beta 2))) (- alpha (- 2 beta)))) (* (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ alpha (+ beta 2))) (* (cbrt (+ alpha (+ beta 2))) (- alpha (- 2 beta)))) (* (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))) (sqrt (/ (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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:  [ 314 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (+ (+ (+ 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)))) (sqrt (/ (/ (- (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (+ (+ (+ 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 (56 enodes)
* * [misc]simplify:  iters left: 4 (150 enodes)
* * [misc]simplify:  iters left: 3 (360 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (/ (+ (+ (+ 1.0 alpha) beta) (* alpha beta)) (+ (+ beta 2) alpha)) (* (cbrt (+ (+ beta 2) alpha)) (+ alpha (- beta 2)))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (/ (+ (+ (+ 1.0 alpha) beta) (* alpha beta)) (+ (+ beta 2) alpha)) (* (cbrt (+ (+ beta 2) alpha)) (+ alpha (- beta 2)))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (sqrt (/ (/ (- (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 315 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (+ (+ (+ 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)) (sqrt (/ (/ (- (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (+ (+ (+ 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 (20 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (131 enodes)
* * [misc]simplify:  iters left: 3 (345 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (cbrt (+ alpha (+ beta 2)))) (* (* (+ (+ beta alpha) 2) (- (+ beta alpha) 2)) (cbrt (+ alpha (+ beta 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (cbrt (+ alpha (+ beta 2)))) (* (* (+ (+ beta alpha) 2) (- (+ beta alpha) 2)) (cbrt (+ alpha (+ beta 2)))))) (sqrt (/ (/ (- (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 316 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (+ (+ (+ 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))))) (sqrt (/ (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (+ (+ (+ 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 (56 enodes)
* * [misc]simplify:  iters left: 4 (149 enodes)
* * [misc]simplify:  iters left: 3 (426 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ beta (+ (+ 1.0 alpha) (* alpha beta))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (* (sqrt (+ 2 (+ beta alpha))) (* (+ (+ beta alpha) 2) (- (+ beta alpha) 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (+ beta (+ (+ 1.0 alpha) (* alpha beta))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (* (sqrt (+ 2 (+ beta alpha))) (* (+ (+ beta alpha) 2) (- (+ beta alpha) 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))) (sqrt (/ (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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:  [ 317 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (+ (+ (+ 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)))) (sqrt (/ (/ (- (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (+ (+ (+ 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 (53 enodes)
* * [misc]simplify:  iters left: 4 (148 enodes)
* * [misc]simplify:  iters left: 3 (417 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (* (sqrt (+ alpha (+ beta 2))) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (* (sqrt (+ alpha (+ beta 2))) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))))) (sqrt (/ (/ (- (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 318 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)) (sqrt (/ (/ (- (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (+ (+ (+ 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 (19 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (123 enodes)
* * [misc]simplify:  iters left: 3 (308 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ (+ alpha 2) beta)) (* (sqrt (+ (+ alpha 2) beta)) (- beta (- 2 alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ (+ alpha 2) beta)) (* (sqrt (+ (+ alpha 2) beta)) (- beta (- 2 alpha))))) (sqrt (/ (/ (- (+ 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))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 319 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (+ (+ (+ 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))))) (sqrt (/ (/ (- (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (+ (+ (+ 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 (21 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (154 enodes)
* * [misc]simplify:  iters left: 3 (441 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (sqrt (/ (/ (- (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ 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:  [ 320 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (sqrt (/ (/ (- (+ 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))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (+ (+ (+ 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 (20 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (147 enodes)
* * [misc]simplify:  iters left: 3 (388 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (/ (/ (- (+ 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))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 321 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) 1) 1)) (sqrt (/ (/ (- (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) 1) 1))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* * [misc]simplify:  iters left: 3 (307 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ beta (+ 1.0 alpha)) (* alpha beta)) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (+ (+ beta (+ 1.0 alpha)) (* alpha beta)) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2)))) (sqrt (/ (/ (- (+ 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:  [ 322 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ 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))))) (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 (/ 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 (67 enodes)
* * [misc]simplify:  iters left: 2 (77 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (cbrt (+ (+ 1.0 alpha) (+ beta 2)))) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ 1 (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))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 323 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ 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))))) (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 (/ 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 (64 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ 1 (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))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 324 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ 1 1)) (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)))))>
* [enter]simplify:  Simplifying (sqrt (/ 1 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt 1) (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:  [ 325 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) (sqrt (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (+ (+ (+ 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 (37 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (204 enodes)
* * [misc]simplify:  iters left: 2 (292 enodes)
* * [misc]simplify:  iters left: 1 (377 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (+ 2 (+ beta alpha))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (+ 2 (+ beta alpha))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (sqrt (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ 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:  [ 326 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (sqrt (/ (/ 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))) (+ (+ (+ 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)) 1.0))))
* * [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 (164 enodes)
* * [misc]simplify:  iters left: 2 (198 enodes)
* * [misc]simplify:  iters left: 1 (213 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (+ (+ 2 beta) alpha))) (sqrt (/ (/ 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))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 327 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) 1)) (sqrt (/ (/ 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)))))>
* [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 (29 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ beta (+ alpha 2)))) (sqrt (/ (/ 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:  [ 328 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (+ (+ (+ 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))))) (sqrt (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (+ (+ (+ 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 (54 enodes)
* * [misc]simplify:  iters left: 4 (147 enodes)
* * [misc]simplify:  iters left: 3 (427 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (* (+ 2 (+ beta alpha)) (+ (pow (+ beta alpha) 3) (pow 2 3)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (* (+ 2 (+ beta alpha)) (+ (pow (+ beta alpha) 3) (pow 2 3))))) (sqrt (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ 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:  [ 329 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (+ (+ (+ 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)))) (sqrt (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 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))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (+ (+ (+ 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 (51 enodes)
* * [misc]simplify:  iters left: 4 (139 enodes)
* * [misc]simplify:  iters left: 3 (362 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ (+ 2 beta) (+ 1.0 alpha)))) (* (+ alpha (+ 2 beta)) (+ (pow (+ beta alpha) 3) (pow 2 3)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ (+ 2 beta) (+ 1.0 alpha)))) (* (+ alpha (+ 2 beta)) (+ (pow (+ beta alpha) 3) (pow 2 3))))) (sqrt (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 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))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 330 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) 1)) (sqrt (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) 1))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (123 enodes)
* * [misc]simplify:  iters left: 3 (343 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (+ (pow (+ beta alpha) 3) (pow 2 3))) (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (+ (pow (+ beta alpha) 3) (pow 2 3))) (+ alpha (+ 2 beta)))) (sqrt (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 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:  [ 331 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (+ (+ (+ 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))))) (sqrt (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (+ (+ (+ 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 (55 enodes)
* * [misc]simplify:  iters left: 4 (165 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ beta (+ (+ 1.0 alpha) (* alpha beta))) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (+ (- alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (+ beta (+ (+ 1.0 alpha) (* alpha beta))) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (+ (- alpha 2) beta)))) (sqrt (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ (+ 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:  [ 332 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (+ (+ (+ 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)))) (sqrt (/ (- (+ 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))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (+ (+ (+ 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 (52 enodes)
* * [misc]simplify:  iters left: 4 (154 enodes)
* * [misc]simplify:  iters left: 3 (466 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (* (* (+ (+ beta alpha) 2) (- (+ beta alpha) 2)) (+ (+ beta alpha) 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (* (* (+ (+ beta alpha) 2) (- (+ beta alpha) 2)) (+ (+ beta alpha) 2)))) (sqrt (/ (- (+ 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))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 333 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) 1)) (sqrt (/ (- (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) 1))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (142 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ (+ 1.0 beta) alpha) (* alpha beta)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) (+ (- alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (+ (+ (+ 1.0 beta) alpha) (* alpha beta)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) (+ (- alpha 2) beta))) (sqrt (/ (- (+ 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:  [ 334 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt 1) (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)))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt 1) (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:  [ 335 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (sqrt (/ 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)))))>
* [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 (202 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (sqrt (/ 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:  [ 336 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (pow (+ (+ alpha beta) (* 2 1)) 3) (pow 1.0 3)))) (sqrt (+ (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (- (* 1.0 1.0) (* (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (pow (+ (+ alpha beta) (* 2 1)) 3) (pow 1.0 3))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (119 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (+ (pow (+ 2 (+ beta alpha)) 3) (pow 1.0 3))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (+ (pow (+ 2 (+ beta alpha)) 3) (pow 1.0 3)))) (sqrt (+ (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (- (* 1.0 1.0) (* (+ (+ 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:  [ 337 / 418 ] 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)) (+ (+ alpha beta) (* 2 1))) (* 1.0 1.0)))) (sqrt (- (+ (+ 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)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (/ (+ (+ (+ 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))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (158 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ beta (+ alpha 2))) (* (* (+ beta (+ alpha 2)) (+ (+ 1.0 2) (+ beta alpha))) (+ (+ alpha 2) (- beta 1.0)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ beta (+ alpha 2))) (* (* (+ beta (+ alpha 2)) (+ (+ 1.0 2) (+ beta alpha))) (+ (+ alpha 2) (- beta 1.0))))) (sqrt (- (+ (+ 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:  [ 338 / 418 ] 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))) (+ (+ (+ 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 (202 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (sqrt (+ (+ (+ 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:  [ 339 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (sqrt (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:  [ 340 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (fabs (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)))))>
* [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 (107 enodes)
* * [misc]simplify:  iters left: 3 (452 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ (+ 2 beta) alpha) (* (+ (+ 2 beta) alpha) (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (fabs (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ (+ 2 beta) alpha) (* (+ (+ 2 beta) alpha) (+ (+ beta 1.0) (+ alpha 2))))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 341 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (fabs (/ (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))) (+ (+ (+ 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 (87 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (fabs (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 342 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (fabs (/ (/ (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))) (+ (+ 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)))) (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 (123 enodes)
* * [misc]simplify:  iters left: 2 (151 enodes)
* * [misc]simplify:  iters left: 1 (166 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (fabs (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 343 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (fabs (/ (/ (/ (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) (+ (+ 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)))) (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 (213 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (fabs (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 344 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (* 1 (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:  [ 345 / 418 ] 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 (/ (/ (pow (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 346 / 418 ] 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 (/ (/ (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 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (- (log (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (log (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2 1 1 1 1) to (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 (/ (/ (exp (- (log (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (log (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 347 / 418 ] 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 (/ (/ (exp (log (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 348 / 418 ] 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 (/ (/ (log (exp (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 349 / 418 ] 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 (/ (/ (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 (311 enodes)
* [exit]simplify:  Simplified to (pow (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ (+ 2 beta) alpha)) 3)
* [misc]simplify:  Simplified (2 2 1 1 1 1) to (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 (/ (/ (cbrt (pow (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ (+ 2 beta) alpha)) 3)) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 350 / 418 ] 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 (/ (/ (* (* (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:  [ 351 / 418 ] 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 (/ (/ (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:  [ 352 / 418 ] 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 (/ (/ (* (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:  [ 353 / 418 ] 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:  [ 354 / 418 ] 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 (/ (/ (* (/ (* (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 (101 enodes)
* * [misc]simplify:  iters left: 2 (123 enodes)
* * [misc]simplify:  iters left: 1 (137 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 1 1 1 1) to (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 (/ (/ (* (* (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ 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))))) (+ (+ 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 (82 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2 1 1 1 2) to (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 (/ (/ (* (* (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 355 / 418 ] 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 (/ (/ (* (/ (* (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 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 2 1 1 1 1) to (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 (/ (/ (* (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (* alpha beta) (+ beta (+ 1.0 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 (82 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2 1 1 1 2) to (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 (/ (/ (* (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 356 / 418 ] 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 (/ (/ (* (/ (* (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 (88 enodes)
* * [misc]simplify:  iters left: 2 (120 enodes)
* * [misc]simplify:  iters left: 1 (134 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 2 1 1 1 1) to (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 (/ (/ (* (* (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (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 2 1 1 1 2) to (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 (/ (/ (* (* (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 357 / 418 ] 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 (/ (/ (* (/ (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 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 1 1 1 1) to (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 (/ (/ (* (/ (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))))
* * [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 (82 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2 1 1 1 2) to (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 (/ (/ (* (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 358 / 418 ] 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 (/ (/ (* (/ (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 (82 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2 1 1 1 1) to (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 (/ (/ (* (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2 1 1 1 2) to (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 (/ (/ (* (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 359 / 418 ] 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 (/ (/ (* (/ (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 (93 enodes)
* * [misc]simplify:  iters left: 1 (107 enodes)
* [exit]simplify:  Simplified to (sqrt (+ alpha (+ (* alpha beta) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 2 1 1 1 1) to (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 (/ (/ (* (sqrt (+ alpha (+ (* alpha beta) (+ 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)))
* * [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 2 1 1 1 2) to (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 (/ (/ (* (sqrt (+ alpha (+ (* alpha beta) (+ beta 1.0)))) (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 360 / 418 ] 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 (/ (/ (* (/ 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 2 1 1 1 1) to (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 (/ (/ (* (/ 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 (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2 1 1 1 2) to (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 (/ (/ (* (/ 1 (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 361 / 418 ] 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 (/ (/ (* (/ 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 2 1 1 1 1) to (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 (/ (/ (* (/ 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 (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2 1 1 1 2) to (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 (/ (/ (* (/ 1 (sqrt (+ (+ alpha beta) 2))) (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 362 / 418 ] 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 (/ (/ (* (/ 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 2 1 1 1 1) to (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 (/ (/ (* 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 (105 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (+ 2 beta) alpha))
* [misc]simplify:  Simplified (2 2 1 1 1 2) to (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 (/ (/ (* 1 (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (+ 2 beta) alpha))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 363 / 418 ] 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 (/ (/ (* 1 (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 364 / 418 ] 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) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 365 / 418 ] 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 (/ (/ (/ 1 (/ (+ (+ alpha beta) (* 2 1)) (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 366 / 418 ] 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) (* (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 2 1 1 1 2) to (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) (* (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:  [ 367 / 418 ] 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) (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 2 1 1 1 2) to (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) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 368 / 418 ] 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) 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 2 1 1 1 2) to (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) 1) (+ (+ 2 alpha) beta)) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 369 / 418 ] 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 (/ (/ (/ (* (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 (73 enodes)
* * [misc]simplify:  iters left: 2 (91 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 1 1 1 1) to (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 (/ (/ (/ (* (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (/ (+ (+ alpha beta) (* 2 1)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 370 / 418 ] 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 (/ (/ (/ (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 (95 enodes)
* * [misc]simplify:  iters left: 1 (107 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))
* [misc]simplify:  Simplified (2 2 1 1 1 1) to (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 (/ (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (/ (+ (+ alpha beta) (* 2 1)) (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 371 / 418 ] 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 (/ (/ (/ 1 (/ (+ (+ alpha beta) (* 2 1)) (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 372 / 418 ] 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) (+ (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 (29 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (254 enodes)
* [exit]simplify:  Simplified to (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 alpha) beta)))
* [misc]simplify:  Simplified (2 2 1 1 1 2) to (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) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 alpha) beta)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 373 / 418 ] 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) (+ 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 (14 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (- beta (- 2 alpha))
* [misc]simplify:  Simplified (2 2 1 1 1 2) to (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) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (- beta (- 2 alpha))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 374 / 418 ] 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 (/ (/ (/ (+ (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 2 1 1 1 1) to (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 (/ (/ (/ (+ (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:  [ 375 / 418 ] 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)) (+ (+ 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 (460 enodes)
* [exit]simplify:  Simplified to (- (* (+ (* alpha beta) (+ beta alpha)) (+ (* alpha beta) (+ beta alpha))) (* 1.0 1.0))
* [misc]simplify:  Simplified (2 2 1 1 1 1) to (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)) (+ (* 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:  [ 376 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (sqrt (/ (/ (pow (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) 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:  [ 377 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (sqrt (/ (/ (exp (- (log (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (log (+ (+ 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)))))>
* [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 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (- (log (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (log (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 1 1 1) to (λ (alpha beta) (* (sqrt (/ (/ (exp (- (log (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (log (+ 2 (+ beta alpha))))) (+ (+ 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:  [ 378 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (sqrt (/ (/ (exp (log (/ (+ (+ (+ 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:  [ 379 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (sqrt (/ (/ (log (exp (/ (+ (+ (+ 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:  [ 380 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (sqrt (/ (/ (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))) (sqrt (/ (/ (/ (+ (+ (+ 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) (* 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 (311 enodes)
* [exit]simplify:  Simplified to (pow (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ (+ 2 beta) alpha)) 3)
* [misc]simplify:  Simplified (2 1 1 1 1 1) to (λ (alpha beta) (* (sqrt (/ (/ (cbrt (pow (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ (+ 2 beta) alpha)) 3)) (+ (+ 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:  [ 381 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (sqrt (/ (/ (* (* (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))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 382 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (sqrt (/ (/ (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))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 383 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (sqrt (/ (/ (* (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))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 384 / 418 ] 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:  [ 385 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (sqrt (/ (/ (* (/ (* (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))) (sqrt (/ (/ (/ (+ (+ (+ 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))) (* (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 (101 enodes)
* * [misc]simplify:  iters left: 2 (123 enodes)
* * [misc]simplify:  iters left: 1 (137 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1 1 1 1 1) to (λ (alpha beta) (* (sqrt (/ (/ (* (* (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ 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))))) (+ (+ 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)))))
* [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 (82 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 1 1 2) to (λ (alpha beta) (* (sqrt (/ (/ (* (* (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))) (+ (+ 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:  [ 386 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (sqrt (/ (/ (* (/ (* (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))) (sqrt (/ (/ (/ (+ (+ (+ 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))) (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 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 1 1 1 1 1) to (λ (alpha beta) (* (sqrt (/ (/ (* (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))))) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ 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)))))
* [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 (82 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 1 1 2) to (λ (alpha beta) (* (sqrt (/ (/ (* (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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:  [ 387 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (sqrt (/ (/ (* (/ (* (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))) (sqrt (/ (/ (/ (+ (+ (+ 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 (88 enodes)
* * [misc]simplify:  iters left: 2 (120 enodes)
* * [misc]simplify:  iters left: 1 (134 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 1 1 1 1 1) to (λ (alpha beta) (* (sqrt (/ (/ (* (* (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (/ (cbrt (+ (+ (+ 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)))))
* [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 1 1 2) to (λ (alpha beta) (* (sqrt (/ (/ (* (* (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (+ 2 (+ beta alpha)))) (+ (+ 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:  [ 388 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (sqrt (/ (/ (* (/ (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))) (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)) (* (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 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 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 1 1 1 1) to (λ (alpha beta) (* (sqrt (/ (/ (* (/ (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))) (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)) (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 (82 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 1 1 2) to (λ (alpha beta) (* (sqrt (/ (/ (* (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))) (+ (+ 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:  [ 389 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (sqrt (/ (/ (* (/ (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))) (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)) (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 (82 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 1 1 1) to (λ (alpha beta) (* (sqrt (/ (/ (* (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (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)) (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 (82 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 1 1 2) to (λ (alpha beta) (* (sqrt (/ (/ (* (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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:  [ 390 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (sqrt (/ (/ (* (/ (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))) (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 (93 enodes)
* * [misc]simplify:  iters left: 1 (107 enodes)
* [exit]simplify:  Simplified to (sqrt (+ alpha (+ (* alpha beta) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 1 1 1 1 1) to (λ (alpha beta) (* (sqrt (/ (/ (* (sqrt (+ alpha (+ (* alpha beta) (+ beta 1.0)))) (/ (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)))))
* [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 1 1 2) to (λ (alpha beta) (* (sqrt (/ (/ (* (sqrt (+ alpha (+ (* alpha beta) (+ beta 1.0)))) (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (+ 2 (+ beta alpha)))) (+ (+ 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:  [ 391 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (sqrt (/ (/ (* (/ 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))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ 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 1 1) to (λ (alpha beta) (* (sqrt (/ (/ (* (/ 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))) (sqrt (/ (/ (/ (+ (+ (+ 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) (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 (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 1 1 2) to (λ (alpha beta) (* (sqrt (/ (/ (* (/ 1 (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (cbrt (+ 2 (+ beta alpha))))) (+ (+ 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:  [ 392 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (sqrt (/ (/ (* (/ 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))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ 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 1 1) to (λ (alpha beta) (* (sqrt (/ (/ (* (/ 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))) (sqrt (/ (/ (/ (+ (+ (+ 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) (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 (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 1 1 2) to (λ (alpha beta) (* (sqrt (/ (/ (* (/ 1 (sqrt (+ (+ alpha beta) 2))) (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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:  [ 393 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (sqrt (/ (/ (* (/ 1 1) (/ (+ (+ (+ 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)))))>
* [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 1 1) to (λ (alpha beta) (* (sqrt (/ (/ (* 1 (/ (+ (+ (+ 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)))))
* [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 (105 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (+ 2 beta) alpha))
* [misc]simplify:  Simplified (2 1 1 1 1 2) to (λ (alpha beta) (* (sqrt (/ (/ (* 1 (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (+ 2 beta) alpha))) (+ (+ 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:  [ 394 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (sqrt (/ (/ (* 1 (/ (+ (+ (+ 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:  [ 395 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (sqrt (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 396 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (sqrt (/ (/ (/ 1 (/ (+ (+ alpha beta) (* 2 1)) (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (+ (+ 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:  [ 397 / 418 ] 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)))) (+ (+ 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)))))>
* [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 1 1 2) to (λ (alpha beta) (* (sqrt (/ (/ (/ (/ (+ (+ (+ 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))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 398 / 418 ] 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))) (+ (+ (+ 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)))))>
* [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 1 1 2) to (λ (alpha beta) (* (sqrt (/ (/ (/ (/ (+ (+ (+ 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))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 399 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (sqrt (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ 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 1 1 2) to (λ (alpha beta) (* (sqrt (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) (+ (+ 2 alpha) beta)) (+ (+ 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:  [ 400 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (sqrt (/ (/ (/ (* (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))) (sqrt (/ (/ (/ (+ (+ (+ 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)))
* * [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 (73 enodes)
* * [misc]simplify:  iters left: 2 (91 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 1 1 1) to (λ (alpha beta) (* (sqrt (/ (/ (/ (* (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (/ (+ (+ alpha beta) (* 2 1)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (+ (+ 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:  [ 401 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (sqrt (/ (/ (/ (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))) (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))
* * [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 (95 enodes)
* * [misc]simplify:  iters left: 1 (107 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))
* [misc]simplify:  Simplified (2 1 1 1 1 1) to (λ (alpha beta) (* (sqrt (/ (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (/ (+ (+ alpha beta) (* 2 1)) (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (+ (+ 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:  [ 402 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (sqrt (/ (/ (/ 1 (/ (+ (+ alpha beta) (* 2 1)) (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (+ (+ 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:  [ 403 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (sqrt (/ (/ (* (/ (+ (+ (+ 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))) (sqrt (/ (/ (/ (+ (+ (+ 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) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (254 enodes)
* [exit]simplify:  Simplified to (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 alpha) beta)))
* [misc]simplify:  Simplified (2 1 1 1 1 2) to (λ (alpha beta) (* (sqrt (/ (/ (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 alpha) beta)))) (+ (+ 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:  [ 404 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (sqrt (/ (/ (* (/ (+ (+ (+ 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))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (- (+ alpha beta) (* 2 1))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (- beta (- 2 alpha))
* [misc]simplify:  Simplified (2 1 1 1 1 2) to (λ (alpha beta) (* (sqrt (/ (/ (* (/ (+ (+ (+ 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))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 405 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (sqrt (/ (/ (/ (+ (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))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (+ (pow (+ (+ alpha beta) (* beta alpha)) 3) (pow 1.0 3))
* * [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 1 1) to (λ (alpha beta) (* (sqrt (/ (/ (/ (+ (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))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 406 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (sqrt (/ (/ (/ (- (* (+ (+ 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))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (- (* (+ (+ alpha beta) (* beta alpha)) (+ (+ alpha beta) (* beta alpha))) (* 1.0 1.0))
* * [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 (460 enodes)
* [exit]simplify:  Simplified to (- (* (+ (* alpha beta) (+ beta alpha)) (+ (* alpha beta) (+ beta alpha))) (* 1.0 1.0))
* [misc]simplify:  Simplified (2 1 1 1 1 1) to (λ (alpha beta) (* (sqrt (/ (/ (/ (- (* (+ (* 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))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 407 / 418 ] 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))) (- (+ (* 1/2 (sqrt 0.3333333333333333)) (* 0.05555555555555555 (/ beta (sqrt 0.3333333333333333)))) (+ (* 0.25 (/ (* (sqrt 3.0) alpha) (pow 3.0 2))) (* 1/4 (* (sqrt 0.3333333333333333) beta))))))>
* [enter]simplify:  Simplifying (- (+ (* 1/2 (sqrt 0.3333333333333333)) (* 0.05555555555555555 (/ beta (sqrt 0.3333333333333333)))) (+ (* 0.25 (/ (* (sqrt 3.0) alpha) (pow 3.0 2))) (* 1/4 (* (sqrt 0.3333333333333333) beta))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (244 enodes)
* [exit]simplify:  Simplified to (+ (- (* (sqrt 0.3333333333333333) (- 1/2 (* beta 1/4))) (/ (* (/ 0.25 3.0) (sqrt 3.0)) (/ 3.0 alpha))) (/ (* 0.05555555555555555 beta) (sqrt 0.3333333333333333)))
* [misc]simplify:  Simplified (2 2) to (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 0.3333333333333333) (- 1/2 (* beta 1/4))) (/ (* (/ 0.25 3.0) (sqrt 3.0)) (/ 3.0 alpha))) (/ (* 0.05555555555555555 beta) (sqrt 0.3333333333333333)))))
* * * * [misc]progress:  [ 408 / 418 ] 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))) (- (+ (* +nan.0 (/ 1 (* (pow beta 2) alpha))) (- (+ (* +nan.0 (/ 1 (* beta alpha))) (- (* +nan.0 (/ 1 (* beta (pow alpha 2)))))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (* (pow beta 2) alpha))) (- (+ (* +nan.0 (/ 1 (* beta alpha))) (- (* +nan.0 (/ 1 (* beta (pow alpha 2)))))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) +nan.0))
* * * * [misc]progress:  [ 409 / 418 ] 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))) (- (+ (* +nan.0 (/ 1 (* (pow beta 2) alpha))) (- (+ (* +nan.0 (/ 1 (* beta alpha))) (- (* +nan.0 (/ 1 (* beta (pow alpha 2)))))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (* (pow beta 2) alpha))) (- (+ (* +nan.0 (/ 1 (* beta alpha))) (- (* +nan.0 (/ 1 (* beta (pow alpha 2)))))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) +nan.0))
* * * * [misc]progress:  [ 410 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (- (+ (* 1/2 (sqrt 0.3333333333333333)) (* 0.05555555555555555 (/ beta (sqrt 0.3333333333333333)))) (+ (* 0.25 (/ (* (sqrt 3.0) alpha) (pow 3.0 2))) (* 1/4 (* (sqrt 0.3333333333333333) 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 (- (+ (* 1/2 (sqrt 0.3333333333333333)) (* 0.05555555555555555 (/ beta (sqrt 0.3333333333333333)))) (+ (* 0.25 (/ (* (sqrt 3.0) alpha) (pow 3.0 2))) (* 1/4 (* (sqrt 0.3333333333333333) beta))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (244 enodes)
* [exit]simplify:  Simplified to (+ (- (* (sqrt 0.3333333333333333) (- 1/2 (* beta 1/4))) (/ (* (/ 0.25 3.0) (sqrt 3.0)) (/ 3.0 alpha))) (/ (* 0.05555555555555555 beta) (sqrt 0.3333333333333333)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (+ (- (* (sqrt 0.3333333333333333) (- 1/2 (* beta 1/4))) (/ (* (/ 0.25 3.0) (sqrt 3.0)) (/ 3.0 alpha))) (/ (* 0.05555555555555555 beta) (sqrt 0.3333333333333333))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 411 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (- (+ (* +nan.0 (/ 1 (* (pow beta 2) alpha))) (- (+ (* +nan.0 (/ 1 (* beta alpha))) (- (* +nan.0 (/ 1 (* beta (pow alpha 2))))))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (* (pow beta 2) alpha))) (- (+ (* +nan.0 (/ 1 (* beta alpha))) (- (* +nan.0 (/ 1 (* beta (pow alpha 2)))))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* +nan.0 (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 412 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (- (+ (* +nan.0 (/ 1 (* (pow beta 2) alpha))) (- (+ (* +nan.0 (/ 1 (* beta alpha))) (- (* +nan.0 (/ 1 (* beta (pow alpha 2))))))))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (* (pow beta 2) alpha))) (- (+ (* +nan.0 (/ 1 (* beta alpha))) (- (* +nan.0 (/ 1 (* beta (pow alpha 2)))))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* +nan.0 (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 413 / 418 ] 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 (/ (/ (+ (* 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 2 1 1 1) to (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 (/ (/ (+ 0.5 (* 0.25 (+ alpha beta))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 414 / 418 ] 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 (/ (/ (- (+ (* 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 (69 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (+ (/ (/ 2.0 alpha) alpha) (- 1 (/ 1.0 alpha)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (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 (/ (/ (+ (/ (/ 2.0 alpha) alpha) (- 1 (/ 1.0 alpha))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 415 / 418 ] 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 (/ (/ (- (+ (* 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 (69 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (+ (/ (/ 2.0 alpha) alpha) (- 1 (/ 1.0 alpha)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (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 (/ (/ (+ (/ (/ 2.0 alpha) alpha) (- 1 (/ 1.0 alpha))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* * * * [misc]progress:  [ 416 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (sqrt (/ (/ (+ (* 0.25 alpha) (+ (* 0.25 beta) 0.5)) (+ (+ 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)))))>
* [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 1 1) to (λ (alpha beta) (* (sqrt (/ (/ (+ 0.5 (* 0.25 (+ alpha beta))) (+ (+ 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:  [ 417 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (sqrt (/ (/ (- (+ (* 2.0 (/ 1 (pow alpha 2))) 1) (* 1.0 (/ 1 alpha))) (+ (+ 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)))))>
* [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 (69 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (+ (/ (/ 2.0 alpha) alpha) (- 1 (/ 1.0 alpha)))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (* (sqrt (/ (/ (+ (/ (/ 2.0 alpha) alpha) (- 1 (/ 1.0 alpha))) (+ (+ 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:  [ 418 / 418 ] simplifiying candidate #<alt (λ (alpha beta) (* (sqrt (/ (/ (- (+ (* 2.0 (/ 1 (pow alpha 2))) 1) (* 1.0 (/ 1 alpha))) (+ (+ 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)))))>
* [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 (69 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (+ (/ (/ 2.0 alpha) alpha) (- 1 (/ 1.0 alpha)))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (* (sqrt (/ (/ (+ (/ (/ 2.0 alpha) alpha) (- 1 (/ 1.0 alpha))) (+ (+ 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:  adding candidates to table
* * [misc]progress:  iteration 3 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (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:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1 1 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1 1 1)
* [misc]approximate:  Taking taylor expansion of (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ 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 (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 (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha 1.0) into (+ 1.0 alpha)
* [misc]backup-simplify:  Simplify (/ (+ 1.0 alpha) (sqrt (+ 2 alpha))) into (* (sqrt (/ 1 (+ 2 alpha))) (+ 1.0 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ 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 (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 (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta 1.0) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (/ (+ beta 1.0) (sqrt (+ beta 2))) into (* (sqrt (/ 1 (+ beta 2))) (+ beta 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ 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 (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 (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta 1.0) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (/ (+ beta 1.0) (sqrt (+ beta 2))) into (* (sqrt (/ 1 (+ beta 2))) (+ beta 1.0))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (+ beta 2))) (+ beta 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ beta 2))) 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]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 1 2)))) into -1/4
* [misc]backup-simplify:  Simplify (/ -1/4 (* 2 (sqrt 1/2))) into (/ -1/8 (sqrt 1/2))
* [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 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* (sqrt 1/2) 1.0) into (* 1.0 (sqrt 1/2))
* [misc]backup-simplify:  Simplify (* 1.0 (sqrt 1/2)) into (* 1.0 (sqrt 1/2))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 1 beta) into (+ beta 1)
* [misc]backup-simplify:  Simplify (+ (+ beta 1) 0) into (+ beta 1)
* [misc]backup-simplify:  Simplify (- (/ (+ beta 1) (sqrt (+ beta 2))) (+ (* (* (sqrt (/ 1 (+ beta 2))) (+ beta 1.0)) (/ (* 1/2 (sqrt (/ 1 (+ beta 2)))) (sqrt (+ beta 2)))))) into (- (+ (* (sqrt (/ 1 (+ beta 2))) beta) (sqrt (/ 1 (+ beta 2)))) (+ (* 0.5 (sqrt (/ 1 (pow (+ beta 2) 3)))) (* 1/2 (* (sqrt (/ 1 (pow (+ beta 2) 3))) beta))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* (sqrt (/ 1 (+ beta 2))) beta) (sqrt (/ 1 (+ beta 2)))) (+ (* 0.5 (sqrt (/ 1 (pow (+ beta 2) 3)))) (* 1/2 (* (sqrt (/ 1 (pow (+ beta 2) 3))) beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* (sqrt (/ 1 (+ beta 2))) beta) (sqrt (/ 1 (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (+ beta 2))) beta) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ beta 2))) 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]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 1 2)))) into -1/4
* [misc]backup-simplify:  Simplify (/ -1/4 (* 2 (sqrt 1/2))) into (/ -1/8 (sqrt 1/2))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ beta 2))) 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]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 1 2)))) into -1/4
* [misc]backup-simplify:  Simplify (/ -1/4 (* 2 (sqrt 1/2))) into (/ -1/8 (sqrt 1/2))
* [misc]taylor:  Taking taylor expansion of (+ (* 0.5 (sqrt (/ 1 (pow (+ beta 2) 3)))) (* 1/2 (* (sqrt (/ 1 (pow (+ beta 2) 3))) beta))) in beta
* [misc]taylor:  Taking taylor expansion of (* 0.5 (sqrt (/ 1 (pow (+ beta 2) 3)))) in beta
* [misc]taylor:  Taking taylor expansion of 0.5 in beta
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (pow (+ beta 2) 3))) 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 (exp (* 3 (log (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ 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 (log (+ 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 (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* 3 (log 2)) into (* 3 (log 2))
* [misc]backup-simplify:  Simplify (exp (* 3 (log 2))) into (pow 2 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow 2 3)) into 1/8
* [misc]backup-simplify:  Simplify (sqrt 1/8) into (sqrt 1/8)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 3 1/2) (* 0 (log 2))) into 3/2
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log 2))) (+ (* (/ (pow 3/2 1) 1)))) into 12
* [misc]backup-simplify:  Simplify (- (+ (* 1/8 (/ 12 (pow 2 3))))) into (- 3/16)
* [misc]backup-simplify:  Simplify (/ (- 3/16) (* 2 (sqrt 1/8))) into (/ -3/32 (sqrt 1/8))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (pow (+ beta 2) 3))) beta)) in beta
* [misc]taylor:  Taking taylor expansion of 1/2 in beta
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (pow (+ beta 2) 3))) beta) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (pow (+ beta 2) 3))) 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 (exp (* 3 (log (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ 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 (log (+ 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 (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* 3 (log 2)) into (* 3 (log 2))
* [misc]backup-simplify:  Simplify (exp (* 3 (log 2))) into (pow 2 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow 2 3)) into 1/8
* [misc]backup-simplify:  Simplify (sqrt 1/8) into (sqrt 1/8)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 3 1/2) (* 0 (log 2))) into 3/2
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log 2))) (+ (* (/ (pow 3/2 1) 1)))) into 12
* [misc]backup-simplify:  Simplify (- (+ (* 1/8 (/ 12 (pow 2 3))))) into (- 3/16)
* [misc]backup-simplify:  Simplify (/ (- 3/16) (* 2 (sqrt 1/8))) into (/ -3/32 (sqrt 1/8))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (sqrt 1/2) 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (sqrt 1/2)) into (sqrt 1/2)
* [misc]backup-simplify:  Simplify (* 0.5 (sqrt 1/8)) into (* 0.5 (sqrt 1/8))
* [misc]backup-simplify:  Simplify (* (sqrt 1/8) 0) into 0
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 (sqrt 1/8)) 0) into (* 0.5 (sqrt 1/8))
* [misc]backup-simplify:  Simplify (- (* 0.5 (sqrt 1/8))) into (- (* 0.5 (sqrt 1/8)))
* [misc]backup-simplify:  Simplify (+ (sqrt 1/2) (- (* 0.5 (sqrt 1/8)))) into (- (sqrt 1/2) (* 0.5 (sqrt 1/8)))
* [misc]backup-simplify:  Simplify (- (sqrt 1/2) (* 0.5 (sqrt 1/8))) into (- (sqrt 1/2) (* 0.5 (sqrt 1/8)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (sqrt 1/2) 1) (* (/ -1/8 (sqrt 1/2)) 1.0)) into (- (sqrt 1/2) (* 0.125 (/ 1 (sqrt 1/2))))
* [misc]backup-simplify:  Simplify (- (sqrt 1/2) (* 0.125 (/ 1 (sqrt 1/2)))) into (- (sqrt 1/2) (* 0.125 (/ 1 (sqrt 1/2))))
* [misc]backup-simplify:  Simplify (+ (* (- (sqrt 1/2) (* 0.125 (/ 1 (sqrt 1/2)))) (* beta 1)) (+ (* (- (sqrt 1/2) (* 0.5 (sqrt 1/8))) (* 1 alpha)) (* 1.0 (sqrt 1/2)))) into (- (+ (* 1.0 (sqrt 1/2)) (+ (* beta (sqrt 1/2)) (* (sqrt 1/2) alpha))) (+ (* 0.125 (/ beta (sqrt 1/2))) (* 0.5 (* (sqrt 1/8) alpha))))
* [misc]approximate:  Taking taylor expansion of (/ (+ (+ (+ (/ 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 (/ (+ (+ (+ (/ 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 (+ (+ (+ (/ 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 (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 (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 alpha)) into (+ (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 alpha) 1) 0) into (+ (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 alpha) 1) +nan.0) into (* +nan.0 (+ (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ (/ 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 (+ (+ (+ (/ 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 (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 (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 beta)) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) 1) 0) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) 1) +nan.0) into (* +nan.0 (+ (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ (/ 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 (+ (+ (+ (/ 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 (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 (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 beta)) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) 1) 0) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) 1) +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) 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 (- (+ (* 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) 2) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 beta) +nan.0))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 beta) 1.0) +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]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 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)) 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) (* 1 (/ 1 (/ 1 alpha)))) (+ (* (- +nan.0) (* (/ 1 (/ 1 beta)) 1)) (* +nan.0 (* (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))))) into (- (+ (* +nan.0 (* beta alpha)) (- (+ (* +nan.0 beta) (- (* +nan.0 alpha))))))
* [misc]approximate:  Taking taylor expansion of (/ (+ (+ (+ (/ 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 (/ (+ (+ (+ (/ 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 (+ (+ (+ (/ 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 (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 (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 alpha)) into (- (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha) 1) 0) into (- (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (/ (- (/ 1 alpha) 1) +nan.0) into (* +nan.0 (- (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ (/ 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 (+ (+ (+ (/ 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 (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 (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 beta)) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta) 1) 0) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) 1) +nan.0) into (* +nan.0 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ (/ 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 (+ (+ (+ (/ 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 (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 (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 beta)) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta) 1) 0) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) 1) +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) 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) 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 (/ (- (- 2 (/ 1 beta)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 beta) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (- 1.0 (/ 1 beta)) +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]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 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)) 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) (* 1 (/ 1 (/ 1 (- alpha))))) (+ (* (- +nan.0) (* (/ 1 (/ 1 (- beta))) 1)) (* +nan.0 (* (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))))) into (- (+ (* +nan.0 (* beta alpha)) (- (+ (* +nan.0 beta) (- (* +nan.0 alpha))))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ 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 (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 (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha 1.0) into (+ 1.0 alpha)
* [misc]backup-simplify:  Simplify (/ (+ 1.0 alpha) (sqrt (+ 2 alpha))) into (* (sqrt (/ 1 (+ 2 alpha))) (+ 1.0 alpha))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 2 (+ beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2 (+ beta alpha)) 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 alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ 2 alpha) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ 2 alpha)) into (sqrt (+ 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ 2 alpha)))) into (* 1/2 (sqrt (/ 1 (+ 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 (+ 2 alpha))) (+ 1.0 alpha)) (sqrt (+ 2 alpha))) into (/ (+ 1.0 alpha) (+ 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ 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 (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 (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta 1.0) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (/ (+ beta 1.0) (sqrt (+ beta 2))) into (* (sqrt (/ 1 (+ beta 2))) (+ beta 1.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 2 (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2 (+ beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ 2 beta) into (+ beta 2)
* [misc]backup-simplify:  Simplify (sqrt (+ beta 2)) into (sqrt (+ beta 2))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta 2)))) into (* 1/2 (sqrt (/ 1 (+ beta 2))))
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 (+ beta 2))) (+ beta 1.0)) (sqrt (+ beta 2))) into (/ (+ beta 1.0) (+ beta 2))
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ 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 (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 (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta 1.0) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (/ (+ beta 1.0) (sqrt (+ beta 2))) into (* (sqrt (/ 1 (+ beta 2))) (+ beta 1.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 2 (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2 (+ beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ 2 beta) into (+ beta 2)
* [misc]backup-simplify:  Simplify (sqrt (+ beta 2)) into (sqrt (+ beta 2))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta 2)))) into (* 1/2 (sqrt (/ 1 (+ beta 2))))
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 (+ beta 2))) (+ beta 1.0)) (sqrt (+ 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 (- (/ (+ beta 1) (sqrt (+ beta 2))) (+ (* (* (sqrt (/ 1 (+ beta 2))) (+ beta 1.0)) (/ (* 1/2 (sqrt (/ 1 (+ beta 2)))) (sqrt (+ beta 2)))))) into (- (+ (* (sqrt (/ 1 (+ beta 2))) beta) (sqrt (/ 1 (+ beta 2)))) (+ (* 0.5 (sqrt (/ 1 (pow (+ beta 2) 3)))) (* 1/2 (* (sqrt (/ 1 (pow (+ beta 2) 3))) beta))))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* (sqrt (/ 1 (+ beta 2))) beta) (sqrt (/ 1 (+ beta 2)))) (+ (* 0.5 (sqrt (/ 1 (pow (+ beta 2) 3)))) (* 1/2 (* (sqrt (/ 1 (pow (+ beta 2) 3))) beta)))) (sqrt (+ beta 2))) (+ (* (/ (+ beta 1.0) (+ beta 2)) (/ (* 1/2 (sqrt (/ 1 (+ beta 2)))) (sqrt (+ 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 (exp (* 2 (log (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ 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 (log (+ 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 (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* 2 (log 2)) into (* 2 (log 2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log 2))) into (pow 2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow 2 2)) 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 (exp (* 2 (log (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ 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 (log (+ 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 (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* 2 (log 2)) into (* 2 (log 2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log 2))) into (pow 2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow 2 2)) 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) (sqrt (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) (sqrt (+ 2 (+ (/ 1 beta) (/ 1 alpha))))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (sqrt (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) (sqrt (+ 2 (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ (/ 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 (+ (+ (+ (/ 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 (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 (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 alpha)) into (+ (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 alpha) 1) 0) into (+ (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 alpha) 1) +nan.0) into (* +nan.0 (+ (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 2 (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2 (+ (/ 1 beta) (/ 1 alpha))) 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) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (+ (/ 1 alpha) 1)) +nan.0) into (* +nan.0 (+ (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (sqrt (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) (sqrt (+ 2 (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ (/ 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 (+ (+ (+ (/ 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 (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 (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 beta)) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) 1) 0) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) 1) +nan.0) into (* +nan.0 (+ (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 2 (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2 (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (+ (/ 1 beta) 1)) +nan.0) into (* +nan.0 (+ (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (sqrt (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) (sqrt (+ 2 (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ (/ 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 (+ (+ (+ (/ 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 (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 (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 beta)) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) 1) 0) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) 1) +nan.0) into (* +nan.0 (+ (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 2 (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2 (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (+ (/ 1 beta) 1)) +nan.0) into (* +nan.0 (+ (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (* +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 (- (+ (* 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) 2) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 beta) +nan.0))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 beta) 1.0) +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 (+ (/ 1 beta) 0) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 2 (/ 1 beta)) 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]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 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)) 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) (* 1 (/ 1 (/ 1 alpha)))) (+ (* (- +nan.0) (* (/ 1 (/ 1 beta)) 1)) (* +nan.0 (* (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))))) into (- (+ (* +nan.0 (* beta alpha)) (- (+ (* +nan.0 beta) (- (* +nan.0 alpha))))))
* [misc]approximate:  Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (sqrt (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) (sqrt (+ 2 (+ (/ 1 (- beta)) (/ 1 (- alpha)))))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (sqrt (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) (sqrt (+ 2 (+ (/ 1 (- beta)) (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ (/ 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 (+ (+ (+ (/ 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 (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 (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 alpha)) into (- (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha) 1) 0) into (- (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (/ (- (/ 1 alpha) 1) +nan.0) into (* +nan.0 (- (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 2 (+ (/ 1 (- beta)) (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2 (+ (/ 1 (- beta)) (/ 1 (- alpha)))) 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)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (- (/ 1 alpha) 1)) +nan.0) into (* +nan.0 (- (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (sqrt (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) (sqrt (+ 2 (+ (/ 1 (- beta)) (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ (/ 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 (+ (+ (+ (/ 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 (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 (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 beta)) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta) 1) 0) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) 1) +nan.0) into (* +nan.0 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 2 (+ (/ 1 (- beta)) (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2 (+ (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (- (/ 1 beta) 1)) +nan.0) into (* +nan.0 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (sqrt (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) (sqrt (+ 2 (+ (/ 1 (- beta)) (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ (/ 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 (+ (+ (+ (/ 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 (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 (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 beta)) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta) 1) 0) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) 1) +nan.0) into (* +nan.0 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 2 (+ (/ 1 (- beta)) (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2 (+ (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (- (/ 1 beta) 1)) +nan.0) into (* +nan.0 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (* +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) 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 (/ (- (- 2 (/ 1 beta)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 beta) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (- 1.0 (/ 1 beta)) +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 (+ (/ -1 beta) 0) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 2 (- (/ 1 beta))) 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]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 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)) 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) (* 1 (/ 1 (/ 1 (- alpha))))) (+ (* (- +nan.0) (* (/ 1 (/ 1 (- beta))) 1)) (* +nan.0 (* (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))))) into (- (+ (* +nan.0 (* beta alpha)) (- (+ (* +nan.0 beta) (- (* +nan.0 alpha))))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ (/ (/ (/ (+ (+ (+ 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)) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ (+ (+ (+ 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)) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ 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 (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 (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha 1.0) into (+ 1.0 alpha)
* [misc]backup-simplify:  Simplify (/ (+ 1.0 alpha) (sqrt (+ 2 alpha))) into (* (sqrt (/ 1 (+ 2 alpha))) (+ 1.0 alpha))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 2 (+ beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2 (+ beta alpha)) 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 alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ 2 alpha) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ 2 alpha)) into (sqrt (+ 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ 2 alpha)))) into (* 1/2 (sqrt (/ 1 (+ 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 (+ 2 alpha))) (+ 1.0 alpha)) (sqrt (+ 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) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ 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 (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 (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta 1.0) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (/ (+ beta 1.0) (sqrt (+ beta 2))) into (* (sqrt (/ 1 (+ beta 2))) (+ beta 1.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 2 (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2 (+ beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ 2 beta) into (+ beta 2)
* [misc]backup-simplify:  Simplify (sqrt (+ beta 2)) into (sqrt (+ beta 2))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta 2)))) into (* 1/2 (sqrt (/ 1 (+ beta 2))))
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 (+ beta 2))) (+ beta 1.0)) (sqrt (+ 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) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ 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 (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 (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta 1.0) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (/ (+ beta 1.0) (sqrt (+ beta 2))) into (* (sqrt (/ 1 (+ beta 2))) (+ beta 1.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 2 (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2 (+ beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ 2 beta) into (+ beta 2)
* [misc]backup-simplify:  Simplify (sqrt (+ beta 2)) into (sqrt (+ beta 2))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta 2)))) into (* 1/2 (sqrt (/ 1 (+ beta 2))))
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 (+ beta 2))) (+ beta 1.0)) (sqrt (+ 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 (exp (* 2 (log (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ 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 (log (+ 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 (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* 2 (log 2)) into (* 2 (log 2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log 2))) into (pow 2 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 (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (* (pow 2 2) 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 (- (/ (+ beta 1) (sqrt (+ beta 2))) (+ (* (* (sqrt (/ 1 (+ beta 2))) (+ beta 1.0)) (/ (* 1/2 (sqrt (/ 1 (+ beta 2)))) (sqrt (+ beta 2)))))) into (- (+ (* (sqrt (/ 1 (+ beta 2))) beta) (sqrt (/ 1 (+ beta 2)))) (+ (* 0.5 (sqrt (/ 1 (pow (+ beta 2) 3)))) (* 1/2 (* (sqrt (/ 1 (pow (+ beta 2) 3))) beta))))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* (sqrt (/ 1 (+ beta 2))) beta) (sqrt (/ 1 (+ beta 2)))) (+ (* 0.5 (sqrt (/ 1 (pow (+ beta 2) 3)))) (* 1/2 (* (sqrt (/ 1 (pow (+ beta 2) 3))) beta)))) (sqrt (+ beta 2))) (+ (* (/ (+ beta 1.0) (+ beta 2)) (/ (* 1/2 (sqrt (/ 1 (+ beta 2)))) (sqrt (+ 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 (exp (* 2 (log (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ 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 (log (+ 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 (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* 2 (log 2)) into (* 2 (log 2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log 2))) into (pow 2 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 3.0) into 3.0
* [misc]backup-simplify:  Simplify (* (pow 2 2) 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 (exp (* 2 (log (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ 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 (log (+ 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 (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* 2 (log 2)) into (* 2 (log 2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log 2))) into (pow 2 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 3.0) into 3.0
* [misc]backup-simplify:  Simplify (* (pow 2 2) 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 (exp (* 3 (log (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ 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 (log (+ 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 (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* 3 (log 2)) into (* 3 (log 2))
* [misc]backup-simplify:  Simplify (exp (* 3 (log 2))) into (pow 2 3)
* [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 (* (pow 2 3) 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 (exp (* 2 (log (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ 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 (log (+ 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 (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* 2 (log 2)) into (* 2 (log 2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log 2))) into (pow 2 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 3.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta 3.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ 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 (log (+ beta 3.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 3.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (log 3.0) into (log 3.0)
* [misc]backup-simplify:  Simplify (* 2 (log 3.0)) into (* 2 (log 3.0))
* [misc]backup-simplify:  Simplify (exp (* 2 (log 3.0))) into (pow 3.0 2)
* [misc]backup-simplify:  Simplify (* (pow 2 2) (pow 3.0 2)) into (* 4 (pow 3.0 2))
* [misc]backup-simplify:  Simplify (/ 1 (* 4 (pow 3.0 2))) into (/ 1/4 (pow 3.0 2))
* [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 (exp (* 2 (log (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ 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 (log (+ 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 (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* 2 (log 2)) into (* 2 (log 2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log 2))) into (pow 2 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 3.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta 3.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ 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 (log (+ beta 3.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 3.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (log 3.0) into (log 3.0)
* [misc]backup-simplify:  Simplify (* 2 (log 3.0)) into (* 2 (log 3.0))
* [misc]backup-simplify:  Simplify (exp (* 2 (log 3.0))) into (pow 3.0 2)
* [misc]backup-simplify:  Simplify (* (pow 2 2) (pow 3.0 2)) into (* 4 (pow 3.0 2))
* [misc]backup-simplify:  Simplify (/ 1 (* 4 (pow 3.0 2))) into (/ 1/4 (pow 3.0 2))
* [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 (exp (* 3 (log (+ beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ 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 (log (+ 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 (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* 3 (log 2)) into (* 3 (log 2))
* [misc]backup-simplify:  Simplify (exp (* 3 (log 2))) into (pow 2 3)
* [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 (* (pow 2 3) 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 (/ 1/4 (pow 3.0 2))) into (/ 0.25 (pow 3.0 2))
* [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 (+ (/ 0.25 (pow 3.0 2)) 0.08333333333333333) into (+ (* 0.25 (/ 1 (pow 3.0 2))) 0.08333333333333333)
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 0.25 (/ 1 (pow 3.0 2))) 0.08333333333333333)) into (+ (* 0.25 (/ 1 (pow 3.0 2))) 0.08333333333333333)
* [misc]backup-simplify:  Simplify (- (+ (* 0.25 (/ 1 (pow 3.0 2))) 0.08333333333333333)) into (- (+ (* 0.25 (/ 1 (pow 3.0 2))) 0.08333333333333333))
* [misc]backup-simplify:  Simplify (+ 0.08333333333333333 (- (+ (* 0.25 (/ 1 (pow 3.0 2))) 0.08333333333333333))) into (- (* 0.25 (/ 1 (pow 3.0 2))))
* [misc]backup-simplify:  Simplify (- (* 0.25 (/ 1 (pow 3.0 2)))) into (- (* 0.25 (/ 1 (pow 3.0 2))))
* [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 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 2 1/2) (* 0 (log 2))) into 1
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log 2))) (+ (* (/ (pow 1 1) 1)))) into 4
* [misc]backup-simplify:  Simplify (+ (* (pow 2 2) 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)) (+ (* (- (* 0.25 (/ 1 (pow 3.0 2)))) (* 1 alpha)) 0.08333333333333333)) into (- 0.08333333333333333 (+ (* 0.25 (/ alpha (pow 3.0 2))) (* 0.027777777777777776 beta)))
* [misc]approximate:  Taking taylor expansion of (/ (/ (/ (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (sqrt (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) (sqrt (+ 2 (+ (/ 1 beta) (/ 1 alpha))))) (+ (+ (/ 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) (sqrt (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) (sqrt (+ 2 (+ (/ 1 beta) (/ 1 alpha))))) (+ (+ (/ 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) (sqrt (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) (sqrt (+ 2 (+ (/ 1 beta) (/ 1 alpha))))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (sqrt (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) (sqrt (+ 2 (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ (/ 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 (+ (+ (+ (/ 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 (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 (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 alpha)) into (+ (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 alpha) 1) 0) into (+ (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 alpha) 1) +nan.0) into (* +nan.0 (+ (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 2 (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2 (+ (/ 1 beta) (/ 1 alpha))) 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) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (+ (/ 1 alpha) 1)) +nan.0) into (* +nan.0 (+ (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 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 (/ (* +nan.0 (+ (/ 1 alpha) 1)) 1) into (* +nan.0 (+ (/ 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 (/ (* +nan.0 (+ (/ 1 alpha) 1)) 1) into (* +nan.0 (+ (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (sqrt (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) (sqrt (+ 2 (+ (/ 1 beta) (/ 1 alpha))))) (+ (+ (/ 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) (sqrt (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) (sqrt (+ 2 (+ (/ 1 beta) (/ 1 alpha))))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (sqrt (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) (sqrt (+ 2 (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ (/ 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 (+ (+ (+ (/ 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 (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 (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 beta)) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) 1) 0) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) 1) +nan.0) into (* +nan.0 (+ (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 2 (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2 (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (+ (/ 1 beta) 1)) +nan.0) into (* +nan.0 (+ (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 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 (/ (* +nan.0 (+ (/ 1 beta) 1)) 1) into (* +nan.0 (+ (/ 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 (/ (* +nan.0 (+ (/ 1 beta) 1)) 1) into (* +nan.0 (+ (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (sqrt (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) (sqrt (+ 2 (+ (/ 1 beta) (/ 1 alpha))))) (+ (+ (/ 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) (sqrt (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) (sqrt (+ 2 (+ (/ 1 beta) (/ 1 alpha))))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (sqrt (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) (sqrt (+ 2 (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ (/ 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 (+ (+ (+ (/ 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 (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 (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 beta)) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) 1) 0) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) 1) +nan.0) into (* +nan.0 (+ (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 2 (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2 (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (+ (/ 1 beta) 1)) +nan.0) into (* +nan.0 (+ (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 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 (/ (* +nan.0 (+ (/ 1 beta) 1)) 1) into (* +nan.0 (+ (/ 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 (/ (* +nan.0 (+ (/ 1 beta) 1)) 1) into (* +nan.0 (+ (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (/ 1 beta) 1)) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 1) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 1) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 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) 2) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 beta) +nan.0))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 beta) 1.0) +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 (+ (/ 1 beta) 0) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 2 (/ 1 beta)) 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]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 (- (/ (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) 1) (+ (* (* +nan.0 (+ (/ 1 beta) 1)) (/ (+ (/ 1 beta) 2) 1)))) 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) 1.0) into (+ (/ 1 beta) 3.0)
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) 1) (+ (* (* +nan.0 (+ (/ 1 beta) 1)) (/ (+ (/ 1 beta) 3.0) 1)))) 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]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 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 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 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 beta) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ 0 +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]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 beta) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- +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 (- (/ (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))))) 1) (+ (* (* +nan.0 (+ (/ 1 beta) 1)) (/ 0 1)) (* (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) (/ (+ (/ 1 beta) 2) 1)))) into (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- +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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- +nan.0))))))) 1) (+ (* (* +nan.0 (+ (/ 1 beta) 1)) (/ 0 1)) (* (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) (/ (+ (/ 1 beta) 3.0) 1)))) 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]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]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 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 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (/ (/ (/ (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (sqrt (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) (sqrt (+ 2 (+ (/ 1 (- beta)) (/ 1 (- alpha)))))) (+ (+ (/ 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) (sqrt (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) (sqrt (+ 2 (+ (/ 1 (- beta)) (/ 1 (- alpha)))))) (+ (+ (/ 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) (sqrt (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) (sqrt (+ 2 (+ (/ 1 (- beta)) (/ 1 (- alpha)))))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (sqrt (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) (sqrt (+ 2 (+ (/ 1 (- beta)) (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ (/ 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 (+ (+ (+ (/ 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 (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 (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 alpha)) into (- (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha) 1) 0) into (- (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (/ (- (/ 1 alpha) 1) +nan.0) into (* +nan.0 (- (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 2 (+ (/ 1 (- beta)) (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2 (+ (/ 1 (- beta)) (/ 1 (- alpha)))) 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)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (- (/ 1 alpha) 1)) +nan.0) into (* +nan.0 (- (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 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 (/ (* +nan.0 (- (/ 1 alpha) 1)) -1) into (* +nan.0 (- (/ 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 (/ (* +nan.0 (- (/ 1 alpha) 1)) -1) into (* +nan.0 (- (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (sqrt (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) (sqrt (+ 2 (+ (/ 1 (- beta)) (/ 1 (- alpha)))))) (+ (+ (/ 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) (sqrt (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) (sqrt (+ 2 (+ (/ 1 (- beta)) (/ 1 (- alpha)))))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (sqrt (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) (sqrt (+ 2 (+ (/ 1 (- beta)) (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ (/ 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 (+ (+ (+ (/ 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 (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 (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 beta)) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta) 1) 0) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) 1) +nan.0) into (* +nan.0 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 2 (+ (/ 1 (- beta)) (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2 (+ (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (- (/ 1 beta) 1)) +nan.0) into (* +nan.0 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- 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 (/ (* +nan.0 (- (/ 1 beta) 1)) -1) into (* +nan.0 (- (/ 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 (/ (* +nan.0 (- (/ 1 beta) 1)) -1) into (* +nan.0 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (sqrt (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) (sqrt (+ 2 (+ (/ 1 (- beta)) (/ 1 (- alpha)))))) (+ (+ (/ 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) (sqrt (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) (sqrt (+ 2 (+ (/ 1 (- beta)) (/ 1 (- alpha)))))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (sqrt (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) (sqrt (+ 2 (+ (/ 1 (- beta)) (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ (/ 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 (+ (+ (+ (/ 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 (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 (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 beta)) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta) 1) 0) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) 1) +nan.0) into (* +nan.0 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 2 (+ (/ 1 (- beta)) (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2 (+ (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (- (/ 1 beta) 1)) +nan.0) into (* +nan.0 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- 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 (/ (* +nan.0 (- (/ 1 beta) 1)) -1) into (* +nan.0 (- (/ 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 (/ (* +nan.0 (- (/ 1 beta) 1)) -1) into (* +nan.0 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (/ 1 beta) 1)) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) 1) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 -1) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 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 (/ (- (- 2 (/ 1 beta)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 beta) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (- 1.0 (/ 1 beta)) +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 (+ (/ -1 beta) 0) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 2 (- (/ 1 beta))) 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]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 (- (/ (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) -1) (+ (* (* +nan.0 (- (/ 1 beta) 1)) (/ (- 2 (/ 1 beta)) -1)))) 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)) 1.0) into (- 3.0 (/ 1 beta))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) -1) (+ (* (* +nan.0 (- (/ 1 beta) 1)) (/ (- 3.0 (/ 1 beta)) -1)))) 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]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 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) 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 (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 beta) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ 0 +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]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) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 beta) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- +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 (- (/ (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))))) -1) (+ (* (* +nan.0 (- (/ 1 beta) 1)) (/ 0 -1)) (* (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) (/ (- 2 (/ 1 beta)) -1)))) into (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- +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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- +nan.0))))))) -1) (+ (* (* +nan.0 (- (/ 1 beta) 1)) (/ 0 -1)) (* (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) (/ (- 3.0 (/ 1 beta)) -1)))) 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]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]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 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 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 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 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (pow (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 2 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (exp (- (log (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (log (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (- (log (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (log (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (- (log (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (log (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (/ (/ (/ (exp (- (log (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (log (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 3 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (exp (log (/ (+ (+ (+ 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:  [ 4 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (log (exp (/ (+ (+ (+ 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:  [ 5 / 2105 ] 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)) (* (* (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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)) (* (* (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (220 enodes)
* [exit]simplify:  Simplified to (pow (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (sqrt (+ alpha (+ 2 beta)))) 3)
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (/ (/ (/ (cbrt (pow (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (sqrt (+ alpha (+ 2 beta)))) 3)) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 6 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (cbrt (/ (+ (+ (+ 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:  [ 7 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (cbrt (* (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (+ (+ (+ 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:  [ 8 / 2105 ] 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)))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 9 / 2105 ] simplifiying candidate #<alt (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:  [ 10 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (/ (* (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 (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ 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 (103 enodes)
* * [misc]simplify:  iters left: 2 (128 enodes)
* * [misc]simplify:  iters left: 1 (141 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (/ (/ (/ (* (* (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (cbrt (+ (+ (+ 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 (84 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (alpha beta) (/ (/ (/ (* (* (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 11 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (/ (* (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 (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (17 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 (123 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (/ (fabs (cbrt (+ (+ 2 beta) alpha))) (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (/ (/ (/ (* (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (/ (fabs (cbrt (+ (+ 2 beta) alpha))) (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)))) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (cbrt (+ (+ (+ 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 (84 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (alpha beta) (/ (/ (/ (* (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (/ (fabs (cbrt (+ (+ 2 beta) alpha))) (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)))) (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (cbrt (+ (+ alpha 2) beta))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 12 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (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)) (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (/ (/ (/ (* (/ (* (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (cbrt (+ (+ (+ 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 (84 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (alpha beta) (/ (/ (/ (* (/ (* (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 13 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (/ (cbrt (+ (+ (+ 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)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 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 (80 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* * [misc]simplify:  iters left: 1 (111 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (/ (sqrt 1) (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (/ (/ (/ (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (/ (sqrt 1) (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))))) (/ (cbrt (+ (+ (+ 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)))
* [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 (82 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (alpha beta) (/ (/ (/ (* (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 14 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (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)) (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (/ (/ (/ (* (/ (* (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (cbrt (+ (+ (+ 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 (84 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (alpha beta) (/ (/ (/ (* (/ (* (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 15 / 2105 ] 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)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (88 enodes)
* * [misc]simplify:  iters left: 2 (120 enodes)
* * [misc]simplify:  iters left: 1 (134 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (/ (/ (/ (* (* (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (/ (cbrt (+ (+ (+ 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)))
* [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 (82 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (alpha beta) (/ (/ (/ (* (* (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 16 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (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 (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [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 (109 enodes)
* * [misc]simplify:  iters left: 1 (122 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 1 1 1 1) to (λ (alpha beta) (/ (/ (/ (* (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (sqrt (+ (+ beta 2) alpha)))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [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 (84 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (alpha beta) (/ (/ (/ (* (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (sqrt (+ (+ beta 2) alpha)))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 17 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (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 (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [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 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (fabs (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (/ (/ (/ (* (/ (sqrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [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 (84 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (alpha beta) (/ (/ (/ (* (/ (sqrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (cbrt (+ (+ alpha 2) beta))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 18 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [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 (84 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (/ (/ (/ (* (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [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 (84 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (alpha beta) (/ (/ (/ (* (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 19 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt 1)) (/ (sqrt (+ (+ (+ 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)))>
* [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 (75 enodes)
* * [misc]simplify:  iters left: 2 (95 enodes)
* * [misc]simplify:  iters left: 1 (107 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt 1))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (/ (/ (/ (* (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt 1)) (/ (sqrt (+ (+ (+ 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)))
* [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 (82 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (alpha beta) (/ (/ (/ (* (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt 1)) (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 20 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [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 (84 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (/ (/ (/ (* (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [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 (84 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (alpha beta) (/ (/ (/ (* (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 21 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (/ (sqrt (+ (+ (+ 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)))>
* [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 (93 enodes)
* * [misc]simplify:  iters left: 1 (107 enodes)
* [exit]simplify:  Simplified to (sqrt (+ alpha (+ (* alpha beta) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (/ (/ (/ (* (sqrt (+ alpha (+ (* alpha beta) (+ beta 1.0)))) (/ (sqrt (+ (+ (+ 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)))
* [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 (82 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (alpha beta) (/ (/ (/ (* (sqrt (+ alpha (+ (* alpha beta) (+ beta 1.0)))) (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 22 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [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 1 1 1 1) to (λ (alpha beta) (/ (/ (/ (* (/ (/ 1 (cbrt (sqrt (+ (+ alpha beta) 2)))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (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 (82 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (alpha beta) (/ (/ (/ (* (/ (/ 1 (cbrt (sqrt (+ (+ alpha beta) 2)))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 23 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (/ 1 (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [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 1 1 1 1) to (λ (alpha beta) (/ (/ (/ (* (/ 1 (fabs (cbrt (+ (+ alpha beta) 2)))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (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 (82 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (alpha beta) (/ (/ (/ (* (/ 1 (fabs (cbrt (+ (+ alpha beta) 2)))) (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 24 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [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 1 1 1 1) to (λ (alpha beta) (/ (/ (/ (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (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 (82 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (alpha beta) (/ (/ (/ (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 25 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (/ 1 (sqrt 1)) (/ (+ (+ (+ 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)))>
* [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 (sqrt 1))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (/ (/ (/ (* (/ 1 (sqrt 1)) (/ (+ (+ (+ 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)))
* [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 (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (alpha beta) (/ (/ (/ (* (/ 1 (sqrt 1)) (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 26 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [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 1 1 1 1) to (λ (alpha beta) (/ (/ (/ (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (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 (82 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (alpha beta) (/ (/ (/ (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 27 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (/ 1 1) (/ (+ (+ (+ 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)))>
* [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 1) to (λ (alpha beta) (/ (/ (/ (* 1 (/ (+ (+ (+ 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)))
* [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 (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (alpha beta) (/ (/ (/ (* 1 (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 28 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* 1 (/ (+ (+ (+ 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:  [ 29 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 30 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ 1 (/ (sqrt (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 31 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (/ (+ (+ (+ 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 (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [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 1 1 1 2) to (λ (alpha beta) (/ (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (cbrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 32 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [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 1 1 1 2) to (λ (alpha beta) (/ (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (cbrt (+ alpha (+ beta 2))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 33 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [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 1 1 1 2) to (λ (alpha beta) (/ (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 34 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 1 2) to (λ (alpha beta) (/ (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt 1)) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 35 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [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 1 1 1 2) to (λ (alpha beta) (/ (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 36 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 1 2) to (λ (alpha beta) (/ (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 37 / 2105 ] 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 (+ 2 (+ beta alpha)))) (+ (+ 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 (73 enodes)
* * [misc]simplify:  iters left: 2 (91 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (/ (/ (/ (/ (* (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 38 / 2105 ] 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 (+ 2 (+ beta alpha)))) (+ (+ 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 (95 enodes)
* * [misc]simplify:  iters left: 1 (107 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (/ (/ (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 39 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ 1 (/ (sqrt (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 40 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (/ (+ (+ (+ 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 (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [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 (30 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (255 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (alpha beta) (/ (/ (/ (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3)))) (sqrt (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 beta) alpha))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 41 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))) (sqrt (- (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (15 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (34 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (- alpha 2) beta))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (alpha beta) (/ (/ (/ (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))) (sqrt (+ (- alpha 2) beta))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 42 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (+ (pow (+ (+ alpha beta) (* beta alpha)) 3) (pow 1.0 3)) (* (sqrt (+ (+ alpha beta) (* 2 1))) (+ (* (+ (+ alpha beta) (* beta alpha)) (+ (+ alpha beta) (* beta alpha))) (- (* 1.0 1.0) (* (+ (+ alpha beta) (* beta alpha)) 1.0))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 1) to (λ (alpha beta) (/ (/ (/ (/ (+ (pow 1.0 3) (pow (+ (* alpha beta) (+ beta alpha)) 3)) (* (sqrt (+ (+ alpha beta) (* 2 1))) (+ (* (+ (+ alpha beta) (* beta alpha)) (+ (+ alpha beta) (* beta alpha))) (- (* 1.0 1.0) (* (+ (+ alpha beta) (* beta alpha)) 1.0))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 43 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (- (* (+ (+ alpha beta) (* beta alpha)) (+ (+ alpha beta) (* beta alpha))) (* 1.0 1.0)) (* (sqrt (+ (+ alpha beta) (* 2 1))) (- (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (460 enodes)
* [exit]simplify:  Simplified to (- (* (+ (* alpha beta) (+ beta alpha)) (+ (* alpha beta) (+ beta alpha))) (* 1.0 1.0))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (/ (/ (/ (/ (- (* (+ (* alpha beta) (+ beta alpha)) (+ (* alpha beta) (+ beta alpha))) (* 1.0 1.0)) (* (sqrt (+ (+ alpha beta) (* 2 1))) (- (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 44 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (pow (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 45 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (exp (- (- (log (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (log (sqrt (+ (+ alpha beta) (* 2 1))))) (log (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (- (- (log (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (log (sqrt (+ (+ alpha beta) (* 2 1))))) (log (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (- (log (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (+ (log (sqrt (+ (+ beta 2) alpha))) (log (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (exp (- (log (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (+ (log (sqrt (+ (+ beta 2) alpha))) (log (sqrt (+ (+ beta 2) alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 46 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (exp (- (log (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (log (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (- (log (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (log (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (146 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (- (log (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (sqrt (+ alpha (+ 2 beta))))) (log (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (exp (- (log (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (sqrt (+ alpha (+ 2 beta))))) (log (sqrt (+ alpha (+ 2 beta)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 47 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (exp (log (/ (/ (+ (+ (+ 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:  [ 48 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (log (exp (/ (/ (+ (+ (+ 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:  [ 49 / 2105 ] 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)) (* (* (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (* (* (sqrt (+ 2 (+ beta alpha))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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)) (* (* (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (* (* (sqrt (+ 2 (+ beta alpha))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (63 enodes)
* * [misc]simplify:  iters left: 4 (276 enodes)
* [exit]simplify:  Simplified to (/ (pow (+ (+ beta (+ 1.0 alpha)) (* alpha beta)) 3) (* (+ alpha (+ 2 beta)) (* (+ alpha (+ 2 beta)) (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (cbrt (/ (pow (+ (+ beta (+ 1.0 alpha)) (* alpha beta)) 3) (* (+ alpha (+ 2 beta)) (* (+ alpha (+ 2 beta)) (+ alpha (+ 2 beta)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 50 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (cbrt (/ (* (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (* (* (sqrt (+ 2 (+ beta alpha))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (* (* (sqrt (+ 2 (+ beta alpha))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (179 enodes)
* [exit]simplify:  Simplified to (pow (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ (+ alpha 2) beta)) 3)
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (cbrt (pow (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ (+ alpha 2) beta)) 3)) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 51 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (* (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))))) (cbrt (/ (/ (+ (+ (+ 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:  [ 52 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (cbrt (* (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (/ (/ (+ (+ (+ 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:  [ 53 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (sqrt (/ (/ (+ (+ (+ 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:  [ 54 / 2105 ] simplifiying candidate #<alt (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:  [ 55 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (107 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ (+ alpha 2) beta)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ (+ alpha 2) beta)))) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (* (/ (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ (+ alpha 2) beta)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ (+ alpha 2) beta)))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ beta (+ alpha 2))))) (cbrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (* (/ (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ (+ alpha 2) beta)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ (+ alpha 2) beta)))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ beta (+ alpha 2))))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 56 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ 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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta))))) (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta)))))) (fabs (cbrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (* (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta))))) (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta)))))) (fabs (cbrt (+ alpha (+ 2 beta))))) (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (cbrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ beta (+ alpha 2))))) (sqrt (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (* (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta))))) (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta)))))) (fabs (cbrt (+ alpha (+ 2 beta))))) (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ beta (+ alpha 2))))) (sqrt (cbrt (+ beta (+ alpha 2)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 57 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [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 (94 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ 2 beta) alpha))))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt (sqrt (+ (+ 2 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))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ 2 beta) alpha)))))) (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 58 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) (/ (cbrt (/ (+ (+ (+ 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)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ 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 (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 (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha)))))) (sqrt 1))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (* (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha)))))) (sqrt 1)) (/ (cbrt (/ (+ (+ (+ 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)))
* [enter]simplify:  Simplifying (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))
* * [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 (87 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (* (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha)))))) (sqrt 1)) (/ (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 59 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [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 (94 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ 2 beta) alpha))))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt (sqrt (+ (+ 2 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))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ 2 beta) alpha)))))) (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 60 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (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))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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) (* beta alpha)) 1.0) (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 (63 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (128 enodes)
* * [misc]simplify:  iters left: 1 (141 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (sqrt (+ (+ 2 beta) alpha)))) (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (* (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (sqrt (+ (+ 2 beta) alpha)))) (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (sqrt (+ (+ 2 beta) alpha))))) (/ (cbrt (/ (+ (+ (+ 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)))
* [enter]simplify:  Simplifying (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))
* * [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 (87 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (* (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (sqrt (+ (+ 2 beta) alpha)))) (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (sqrt (+ (+ 2 beta) alpha))))) (/ (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 61 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 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 (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (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)))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ beta (+ alpha 2))))) (cbrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (sqrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ beta (+ alpha 2))))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 62 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ 2 (+ beta alpha))))) (fabs (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ 2 (+ beta alpha))))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (cbrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ beta (+ alpha 2))))) (sqrt (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ 2 (+ beta alpha))))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ beta (+ alpha 2))))) (sqrt (cbrt (+ beta (+ alpha 2)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 63 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 64 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) (/ (sqrt (/ (+ (+ (+ 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)))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 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 (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ (+ 2 beta) alpha)))) (sqrt 1))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ (+ 2 beta) alpha)))) (sqrt 1)) (/ (sqrt (/ (+ (+ (+ 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)))
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))
* * [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 (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) (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ (+ 2 beta) alpha)))) (sqrt 1)) (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 65 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 66 / 2105 ] 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))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (28 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (121 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))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (+ 2 (+ beta alpha))))
* * [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 (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) (sqrt (+ (+ alpha 2) beta)))) (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 (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 67 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (* (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 (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (176 enodes)
* * [misc]simplify:  iters left: 2 (275 enodes)
* * [misc]simplify:  iters left: 1 (353 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (+ (+ beta alpha) 2)) (cbrt (sqrt (+ (+ beta alpha) 2)))))
* [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))))) (* (sqrt (+ (+ beta alpha) 2)) (cbrt (sqrt (+ (+ beta alpha) 2))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* * [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 (96 enodes)
* * [misc]simplify:  iters left: 2 (120 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (* (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (+ (+ beta alpha) 2)) (cbrt (sqrt (+ (+ beta alpha) 2))))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 68 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (* (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 (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (154 enodes)
* * [misc]simplify:  iters left: 2 (207 enodes)
* * [misc]simplify:  iters left: 1 (238 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (sqrt (+ (+ beta alpha) 2)))) (/ (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (sqrt (+ (+ beta alpha) 2)))) (fabs (cbrt (+ (+ beta alpha) 2)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (* (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (sqrt (+ (+ beta alpha) 2)))) (/ (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (sqrt (+ (+ beta alpha) 2)))) (fabs (cbrt (+ (+ beta alpha) 2))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))
* * [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 (94 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (cbrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (* (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (sqrt (+ (+ beta alpha) 2)))) (/ (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (sqrt (+ (+ beta alpha) 2)))) (fabs (cbrt (+ (+ beta alpha) 2))))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (cbrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 69 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (* (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 (+ 2 (+ beta alpha))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (150 enodes)
* * [misc]simplify:  iters left: 2 (202 enodes)
* * [misc]simplify:  iters left: 1 (233 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (sqrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (sqrt (+ (+ alpha 2) beta))))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (sqrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (sqrt (+ (+ alpha 2) beta)))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [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 (94 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (sqrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (sqrt (+ (+ alpha 2) beta)))))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 70 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (* (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)) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (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 (40 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (147 enodes)
* * [misc]simplify:  iters left: 2 (201 enodes)
* * [misc]simplify:  iters left: 1 (233 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (sqrt 1))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (sqrt 1)) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (sqrt 1)) (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 71 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (* (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 (+ 2 (+ beta alpha))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (150 enodes)
* * [misc]simplify:  iters left: 2 (202 enodes)
* * [misc]simplify:  iters left: 1 (233 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (sqrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (sqrt (+ (+ alpha 2) beta))))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (sqrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (sqrt (+ (+ alpha 2) beta)))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [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 (94 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (sqrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (sqrt (+ (+ alpha 2) beta)))))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 72 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (* (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) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ 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 (150 enodes)
* * [misc]simplify:  iters left: 2 (368 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 73 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (* (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 (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (148 enodes)
* * [misc]simplify:  iters left: 2 (206 enodes)
* * [misc]simplify:  iters left: 1 (241 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (sqrt (+ (+ alpha 2) beta))))) (fabs (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (* (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (sqrt (+ (+ alpha 2) beta))))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* * [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 (94 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (cbrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (* (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (sqrt (+ (+ alpha 2) beta))))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (cbrt (+ (+ beta 2) alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 74 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (* (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 (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (202 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (* (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (+ (+ alpha 2) beta)))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))
* * [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 (96 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (* (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (+ (+ beta 2) alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 75 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (* (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 (+ 2 (+ beta alpha))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (119 enodes)
* * [misc]simplify:  iters left: 2 (146 enodes)
* * [misc]simplify:  iters left: 1 (162 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (fabs (cbrt (+ (+ beta alpha) 2)))) (/ (sqrt (sqrt (+ (+ beta alpha) 2))) (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (fabs (cbrt (+ (+ beta alpha) 2)))) (/ (sqrt (sqrt (+ (+ beta alpha) 2))) (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [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 (94 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (cbrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (fabs (cbrt (+ (+ beta alpha) 2)))) (/ (sqrt (sqrt (+ (+ beta alpha) 2))) (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (cbrt (+ (+ beta 2) alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 76 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (* (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)) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (144 enodes)
* * [misc]simplify:  iters left: 1 (160 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (fabs (cbrt (+ beta (+ alpha 2)))) (sqrt 1)))
* [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))))) (* (fabs (cbrt (+ beta (+ alpha 2)))) (sqrt 1))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (* (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (fabs (cbrt (+ beta (+ alpha 2)))) (sqrt 1))) (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 77 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (* (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 (+ 2 (+ beta alpha))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (119 enodes)
* * [misc]simplify:  iters left: 2 (146 enodes)
* * [misc]simplify:  iters left: 1 (162 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (fabs (cbrt (+ (+ beta alpha) 2)))) (/ (sqrt (sqrt (+ (+ beta alpha) 2))) (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (fabs (cbrt (+ (+ beta alpha) 2)))) (/ (sqrt (sqrt (+ (+ beta alpha) 2))) (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [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 (94 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (cbrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (fabs (cbrt (+ (+ beta alpha) 2)))) (/ (sqrt (sqrt (+ (+ beta alpha) 2))) (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (cbrt (+ (+ beta 2) alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 78 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (* (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) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) 1)
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (210 enodes)
* * [misc]simplify:  iters left: 1 (350 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (fabs (cbrt (+ beta (+ alpha 2))))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (* (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (fabs (cbrt (+ beta (+ alpha 2))))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (* (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (fabs (cbrt (+ beta (+ alpha 2))))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 79 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (206 enodes)
* * [misc]simplify:  iters left: 1 (240 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (sqrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (* (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* * [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 (94 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (* (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 80 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (145 enodes)
* * [misc]simplify:  iters left: 1 (161 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (sqrt (sqrt (+ (+ alpha 2) beta))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (sqrt (sqrt (+ (+ alpha 2) beta))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))
* * [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 (94 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (sqrt (sqrt (+ (+ alpha 2) beta))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 81 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (105 enodes)
* * [misc]simplify:  iters left: 2 (131 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (+ (+ 2 beta) alpha))) (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (* (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (+ (+ 2 beta) alpha))) (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [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 (96 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (* (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (+ (+ 2 beta) alpha))) (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha))))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 82 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (143 enodes)
* * [misc]simplify:  iters left: 1 (160 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt 1) (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)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt 1) (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt 1) (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))))) (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 83 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (105 enodes)
* * [misc]simplify:  iters left: 2 (131 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (+ (+ 2 beta) alpha))) (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (* (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (+ (+ 2 beta) alpha))) (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [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 (96 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (* (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (+ (+ 2 beta) alpha))) (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha))))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 84 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (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 (237 enodes)
* * [misc]simplify:  iters left: 1 (354 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (sqrt (sqrt (+ (+ 2 beta) alpha))))
* [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))))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (* (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 85 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 1)) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (202 enodes)
* * [misc]simplify:  iters left: 1 (236 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt 1))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (* (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt 1)) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 86 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ 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 1)) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (141 enodes)
* * [misc]simplify:  iters left: 1 (157 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta)))) (* (sqrt 1) (fabs (cbrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (* (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta)))) (* (sqrt 1) (fabs (cbrt (+ 2 (+ beta alpha)))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (cbrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (* (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta)))) (* (sqrt 1) (fabs (cbrt (+ 2 (+ beta alpha)))))) (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 87 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 1)) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (139 enodes)
* * [misc]simplify:  iters left: 1 (156 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (sqrt 1) (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)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (sqrt 1) (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 88 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt 1)) (/ (/ (cbrt (+ (+ (+ 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)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (196 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)))) (/ (/ (cbrt (+ (+ (+ 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)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (* (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 89 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 1)) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (139 enodes)
* * [misc]simplify:  iters left: 1 (156 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (sqrt 1) (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)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (sqrt 1) (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 90 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) 1) (/ (/ (cbrt (+ (+ (+ 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)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) 1)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (225 enodes)
* * [misc]simplify:  iters left: 1 (411 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt 1))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (* (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt 1)) (/ (/ (cbrt (+ (+ (+ 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)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (* (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt 1)) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 91 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (206 enodes)
* * [misc]simplify:  iters left: 1 (240 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (sqrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (* (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* * [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 (94 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (* (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 92 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (145 enodes)
* * [misc]simplify:  iters left: 1 (161 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (sqrt (sqrt (+ (+ alpha 2) beta))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (sqrt (sqrt (+ (+ alpha 2) beta))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))
* * [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 (94 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (sqrt (sqrt (+ (+ alpha 2) beta))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 93 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (105 enodes)
* * [misc]simplify:  iters left: 2 (131 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (+ (+ 2 beta) alpha))) (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (* (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (+ (+ 2 beta) alpha))) (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [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 (96 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (* (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (+ (+ 2 beta) alpha))) (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha))))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 94 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (143 enodes)
* * [misc]simplify:  iters left: 1 (160 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt 1) (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)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt 1) (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt 1) (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))))) (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 95 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (105 enodes)
* * [misc]simplify:  iters left: 2 (131 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (+ (+ 2 beta) alpha))) (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (* (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (+ (+ 2 beta) alpha))) (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [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 (96 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (* (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (+ (+ 2 beta) alpha))) (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha))))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 96 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (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 (237 enodes)
* * [misc]simplify:  iters left: 1 (354 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (sqrt (sqrt (+ (+ 2 beta) alpha))))
* [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))))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (* (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 97 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (159 enodes)
* * [misc]simplify:  iters left: 2 (291 enodes)
* * [misc]simplify:  iters left: 1 (337 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (* (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (* (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 98 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (fabs (cbrt (+ beta (+ alpha 2)))))
* [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))))) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (cbrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (cbrt (+ 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))))) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 99 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha)))))
* * [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 (128 enodes)
* * [misc]simplify:  iters left: 2 (217 enodes)
* * [misc]simplify:  iters left: 1 (232 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))))
* [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)))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (* (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 100 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt 1)) (/ (/ (cbrt (+ (+ (+ 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)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (201 enodes)
* * [misc]simplify:  iters left: 1 (219 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt 1)) (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (* (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt 1)) (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))) (/ (/ (cbrt (+ (+ (+ 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)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (* (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt 1)) (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 101 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha)))))
* * [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 (128 enodes)
* * [misc]simplify:  iters left: 2 (217 enodes)
* * [misc]simplify:  iters left: 1 (232 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))))
* [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)))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (* (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 102 / 2105 ] 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)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (118 enodes)
* * [misc]simplify:  iters left: 1 (130 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (* (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (/ (/ (cbrt (+ (+ (+ 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)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (* (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 103 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (119 enodes)
* * [misc]simplify:  iters left: 2 (144 enodes)
* * [misc]simplify:  iters left: 1 (157 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (sqrt (+ alpha (+ beta 2)))) (cbrt (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (sqrt (+ alpha (+ beta 2)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* * [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 (96 enodes)
* * [misc]simplify:  iters left: 2 (120 enodes)
* * [misc]simplify:  iters left: 1 (133 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 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (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)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 104 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (129 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (fabs (cbrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (fabs (cbrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))
* * [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 (94 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (cbrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (fabs (cbrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (cbrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 105 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (131 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [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 (94 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 106 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (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 (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (122 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt 1)) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt 1)) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt 1)) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 107 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (131 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [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 (94 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 108 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (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 (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (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 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (65 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 (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 109 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (* (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 (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (106 enodes)
* * [misc]simplify:  iters left: 2 (129 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (fabs (cbrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (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 (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* * [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 (94 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (cbrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (fabs (cbrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (cbrt (+ (+ beta 2) alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 110 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (123 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))
* * [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 (96 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (+ (+ beta 2) alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 111 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (fabs (cbrt (+ alpha (+ beta 2)))) (sqrt (sqrt (+ alpha (+ beta 2))))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (fabs (cbrt (+ alpha (+ beta 2)))) (sqrt (sqrt (+ alpha (+ beta 2)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [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 (94 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (cbrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (fabs (cbrt (+ alpha (+ beta 2)))) (sqrt (sqrt (+ alpha (+ beta 2)))))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (cbrt (+ (+ beta 2) alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 112 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (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 (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (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 (18 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 (115 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (fabs (cbrt (+ 2 (+ beta alpha))))) (sqrt 1))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (fabs (cbrt (+ 2 (+ beta alpha))))) (sqrt 1)) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (fabs (cbrt (+ 2 (+ beta alpha))))) (sqrt 1)) (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 113 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (fabs (cbrt (+ alpha (+ beta 2)))) (sqrt (sqrt (+ alpha (+ beta 2))))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (fabs (cbrt (+ alpha (+ beta 2)))) (sqrt (sqrt (+ alpha (+ beta 2)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [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 (94 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (cbrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (fabs (cbrt (+ alpha (+ beta 2)))) (sqrt (sqrt (+ alpha (+ beta 2)))))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (cbrt (+ (+ beta 2) alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 114 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (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 (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (fabs (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (fabs (cbrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (fabs (cbrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 115 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (106 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (139 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* * [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 (94 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 116 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (sqrt (+ alpha (+ beta 2))))) (fabs (cbrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (sqrt (+ alpha (+ beta 2))))) (fabs (cbrt (+ alpha (+ beta 2))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))
* * [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 (94 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (sqrt (+ alpha (+ beta 2))))) (fabs (cbrt (+ alpha (+ beta 2))))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 117 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [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 (96 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [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 (96 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 118 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 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 (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt 1))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt 1)) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt 1)) (/ (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 119 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [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 (96 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [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 (96 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 120 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (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 (115 enodes)
* * [misc]simplify:  iters left: 1 (128 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 121 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt 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 (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt 1)) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (122 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt 1)) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt 1)) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt 1)) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 122 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt 1)) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt 1)) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (64 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 beta) (+ beta (+ 1.0 alpha)))) (sqrt 1)) (fabs (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt 1)) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (cbrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt 1)) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 123 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt 1)) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (62 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 (* alpha beta)) (+ 1.0 alpha))) (sqrt 1)) (sqrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt 1)) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 124 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt 1)) (sqrt 1)) (/ (/ (sqrt (+ (+ (+ 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)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt 1)) (sqrt 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 (104 enodes)
* * [misc]simplify:  iters left: 1 (121 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)))) (/ (/ (sqrt (+ (+ (+ 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)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 125 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt 1)) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (62 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 (* alpha beta)) (+ 1.0 alpha))) (sqrt 1)) (sqrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt 1)) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 126 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt 1)) 1) (/ (/ (sqrt (+ (+ (+ 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)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt 1)) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt 1))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt 1)) (/ (/ (sqrt (+ (+ (+ 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)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt 1)) (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 127 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (106 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (139 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* * [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 (94 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 128 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (sqrt (+ alpha (+ beta 2))))) (fabs (cbrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (sqrt (+ alpha (+ beta 2))))) (fabs (cbrt (+ alpha (+ beta 2))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))
* * [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 (94 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (sqrt (+ alpha (+ beta 2))))) (fabs (cbrt (+ alpha (+ beta 2))))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 129 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [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 (96 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [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 (96 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 130 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 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 (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt 1))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt 1)) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt 1)) (/ (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 131 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [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 (96 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [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 (96 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 132 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (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 (115 enodes)
* * [misc]simplify:  iters left: 1 (128 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 133 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 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 (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (105 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (138 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (cbrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 134 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))))
* * [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 (92 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (fabs (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (cbrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 135 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (63 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 (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 136 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (sqrt 1)) (/ (/ (sqrt (+ (+ (+ 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)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (sqrt 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 (82 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (113 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt 1))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt 1)) (/ (/ (sqrt (+ (+ (+ 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)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt 1)) (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 137 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (63 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 (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 138 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) 1) (/ (/ (sqrt (+ (+ (+ 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)))>
* [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 (45 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (97 enodes)
* * [misc]simplify:  iters left: 1 (109 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (/ (/ (sqrt (+ (+ (+ 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)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 139 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (65 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 140 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (fabs (cbrt (+ (+ alpha 2) beta)))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (fabs (cbrt (+ (+ alpha 2) beta)))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (fabs (cbrt (+ (+ alpha 2) beta)))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 141 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (48 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 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 142 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [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 (44 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ (+ beta 2) alpha)))) (* (sqrt 1) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (cbrt (sqrt (+ (+ beta 2) alpha)))) (* (sqrt 1) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (cbrt (sqrt (+ (+ beta 2) alpha)))) (* (sqrt 1) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 143 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (48 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 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 144 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) 1) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [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 1 1 1) to (λ (alpha beta) (/ (/ (* (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2))))) (/ (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 145 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (fabs (cbrt (+ (+ alpha 2) beta)))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (fabs (cbrt (+ (+ alpha 2) beta)))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (fabs (cbrt (+ (+ alpha 2) beta)))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 146 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ 1 (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2)))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (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))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ 1 (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2)))) (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 147 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (fabs (cbrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (fabs (cbrt (+ (+ alpha beta) 2)))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (fabs (cbrt (+ (+ alpha beta) 2)))) (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 148 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [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 (32 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (fabs (cbrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt 1)) (fabs (cbrt (+ (+ alpha beta) 2)))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (sqrt (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt 1)) (fabs (cbrt (+ (+ alpha beta) 2)))) (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (sqrt (cbrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 149 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (fabs (cbrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (fabs (cbrt (+ (+ alpha beta) 2)))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (fabs (cbrt (+ (+ alpha beta) 2)))) (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 150 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) 1) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [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 1 1 1) to (λ (alpha beta) (/ (/ (* (/ 1 (fabs (cbrt (+ (+ beta 2) alpha)))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (sqrt (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ 1 (fabs (cbrt (+ (+ beta 2) alpha)))) (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (sqrt (cbrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 151 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* * [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 (43 enodes)
* * [misc]simplify:  iters left: 2 (44 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 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 152 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (+ beta (+ alpha 2))))) (fabs (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt (sqrt (+ beta (+ alpha 2))))) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt (sqrt (+ beta (+ alpha 2))))) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 153 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ 1 (sqrt (+ beta (+ alpha 2)))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (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))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ 1 (sqrt (+ beta (+ alpha 2)))) (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 154 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [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 (30 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 155 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ 1 (sqrt (+ beta (+ alpha 2)))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (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))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ 1 (sqrt (+ beta (+ alpha 2)))) (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 156 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [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 1 1 1) to (λ (alpha beta) (/ (/ (* (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 157 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (sqrt 1)) (cbrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ (/ 1 (sqrt 1)) (cbrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 158 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (fabs (cbrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt 1)) (fabs (cbrt (+ 2 (+ alpha beta))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (cbrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (sqrt (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt 1)) (fabs (cbrt (+ 2 (+ alpha beta))))) (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (sqrt (cbrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 159 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ 2 (+ alpha beta))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 160 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt 1)) (sqrt 1)) (/ (/ (+ (+ (+ 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)))>
* [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 1)
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ 1 1) (/ (/ (+ (+ (+ 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)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))
* * [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 (94 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ 1 1) (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ beta (+ alpha 2)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 161 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ 2 (+ alpha beta))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 162 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt 1)) 1) (/ (/ (+ (+ (+ 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)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) 1)
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ 1 (sqrt 1)) (/ (/ (+ (+ (+ 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)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))
* * [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 (94 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ 1 (sqrt 1)) (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ beta (+ alpha 2)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 163 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* * [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 (43 enodes)
* * [misc]simplify:  iters left: 2 (44 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 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 164 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (+ beta (+ alpha 2))))) (fabs (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt (sqrt (+ beta (+ alpha 2))))) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt (sqrt (+ beta (+ alpha 2))))) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 165 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ 1 (sqrt (+ beta (+ alpha 2)))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (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))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ 1 (sqrt (+ beta (+ alpha 2)))) (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 166 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [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 (30 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 167 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ 1 (sqrt (+ beta (+ alpha 2)))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (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))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ 1 (sqrt (+ beta (+ alpha 2)))) (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 168 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [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 1 1 1) to (λ (alpha beta) (/ (/ (* (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 169 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ 1 1) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ alpha (+ beta 2))))) (cbrt (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (cbrt (sqrt (+ alpha (+ beta 2))))) (cbrt (sqrt (+ alpha (+ beta 2))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ 1 (cbrt (sqrt (+ alpha (+ beta 2))))) (cbrt (sqrt (+ alpha (+ beta 2))))) (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 170 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ 1 1) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (+ 2 alpha) beta))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ 1 (fabs (cbrt (+ (+ 2 alpha) beta)))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (cbrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (sqrt (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ 1 (fabs (cbrt (+ (+ 2 alpha) beta)))) (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (sqrt (cbrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 171 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ 1 1) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ beta alpha) 2))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ 1 (sqrt (sqrt (+ (+ beta alpha) 2)))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ 1 (sqrt (sqrt (+ (+ beta alpha) 2)))) (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 172 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ 1 1) (sqrt 1)) (/ (/ (+ (+ (+ 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)))>
* [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 (sqrt 1))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ 1 (sqrt 1)) (/ (/ (+ (+ (+ 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)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))
* * [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 (94 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ 1 (sqrt 1)) (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ beta (+ alpha 2)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 173 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ 1 1) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ beta alpha) 2))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ 1 (sqrt (sqrt (+ (+ beta alpha) 2)))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ 1 (sqrt (sqrt (+ (+ beta alpha) 2)))) (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 174 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ 1 1) 1) (/ (/ (+ (+ (+ 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)))>
* [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 1) to (λ (alpha beta) (/ (/ (* 1 (/ (/ (+ (+ (+ 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)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))
* * [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 (94 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* 1 (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ beta (+ alpha 2)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 175 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ 1 (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (+ (+ 2 alpha) beta))) (cbrt (sqrt (+ (+ 2 alpha) beta)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ 1 (* (cbrt (sqrt (+ (+ 2 alpha) beta))) (cbrt (sqrt (+ (+ 2 alpha) beta))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ 1 (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 176 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ 1 (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ 1 (fabs (cbrt (+ alpha (+ 2 beta))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (cbrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (sqrt (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ 1 (fabs (cbrt (+ alpha (+ 2 beta))))) (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (sqrt (cbrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 177 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ 1 (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ 1 (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ 1 (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 178 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ 1 (sqrt 1)) (/ (/ (+ (+ (+ 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)))>
* [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 (sqrt 1))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ 1 (sqrt 1)) (/ (/ (+ (+ (+ 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)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))
* * [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 (94 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ 1 (sqrt 1)) (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ beta (+ alpha 2)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 179 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ 1 (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ 1 (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ 1 (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 180 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ 1 1) (/ (/ (+ (+ (+ 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)))>
* [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) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (+ 2 (+ beta alpha))))
* * [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 (94 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* 1 (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ beta (+ alpha 2)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 181 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ 1 (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 182 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (54 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 (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (fabs (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (+ beta 2) alpha))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (/ 1 (sqrt (+ (+ beta 2) alpha))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 183 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (52 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 (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ 1 (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 184 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt 1)) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt 1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (91 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (sqrt 1))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (sqrt 1)) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (+ alpha beta) 2))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt 1)) (/ 1 (+ (+ alpha beta) 2))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 185 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (52 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 (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ 1 (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 186 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (71 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (+ (* alpha beta) (+ beta (+ 1.0 alpha)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (+ alpha beta) 2))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (/ 1 (+ (+ alpha beta) 2))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 187 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (pow (+ alpha beta) 3) (pow (* 2 1) 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 (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3)))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (205 enodes)
* * [misc]simplify:  iters left: 2 (405 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ (pow 2 3) (pow (+ beta alpha) 3)))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ (pow 2 3) (pow (+ beta alpha) 3)))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (/ (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (269 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 alpha) beta)))) (cbrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ (pow 2 3) (pow (+ beta alpha) 3)))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (/ (sqrt (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 alpha) beta)))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 188 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3)))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (/ (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3)))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (197 enodes)
* * [misc]simplify:  iters left: 2 (395 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (fabs (cbrt (+ alpha (+ 2 beta))))) (sqrt (+ (pow 2 3) (pow (+ beta alpha) 3))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (fabs (cbrt (+ alpha (+ 2 beta))))) (sqrt (+ (pow 2 3) (pow (+ beta alpha) 3)))) (/ (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (269 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 alpha) beta)))) (sqrt (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (fabs (cbrt (+ alpha (+ 2 beta))))) (sqrt (+ (pow 2 3) (pow (+ beta alpha) 3)))) (/ (sqrt (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 alpha) beta)))) (sqrt (cbrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 189 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (192 enodes)
* * [misc]simplify:  iters left: 2 (393 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (pow 2 3) (pow (+ beta alpha) 3))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (pow 2 3) (pow (+ beta alpha) 3)))) (/ (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (269 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 alpha) beta)))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (pow 2 3) (pow (+ beta alpha) 3)))) (/ (sqrt (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 alpha) beta)))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 190 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (+ (+ (+ 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 (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (184 enodes)
* * [misc]simplify:  iters left: 2 (382 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt 1)) (sqrt (+ (pow 2 3) (pow (+ beta alpha) 3))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt 1)) (sqrt (+ (pow 2 3) (pow (+ beta alpha) 3)))) (/ (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (267 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 alpha) beta)))) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt 1)) (sqrt (+ (pow 2 3) (pow (+ beta alpha) 3)))) (/ (sqrt (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 alpha) beta)))) (sqrt (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 191 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (192 enodes)
* * [misc]simplify:  iters left: 2 (393 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (pow 2 3) (pow (+ beta alpha) 3))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (pow 2 3) (pow (+ beta alpha) 3)))) (/ (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (269 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 alpha) beta)))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (pow 2 3) (pow (+ beta alpha) 3)))) (/ (sqrt (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 alpha) beta)))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 192 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (+ (+ (+ 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 (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3)))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (181 enodes)
* * [misc]simplify:  iters left: 2 (379 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ (pow 2 3) (pow (+ beta alpha) 3))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ (pow 2 3) (pow (+ beta alpha) 3)))) (/ (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (267 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 alpha) beta)))) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ (pow 2 3) (pow (+ beta alpha) 3)))) (/ (sqrt (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 alpha) beta)))) (sqrt (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 193 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (sqrt (- (+ alpha beta) (* 2 1))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (116 enodes)
* * [misc]simplify:  iters left: 3 (230 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (- (* (+ beta alpha) (+ beta alpha)) (* 2 2)))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (- (* (+ beta alpha) (+ beta alpha)) (* 2 2)))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (sqrt (- (+ alpha beta) (* 2 1))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (sqrt (- (+ alpha beta) (* 2 1))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (- beta 2) alpha)) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (- (* (+ beta alpha) (+ beta alpha)) (* 2 2)))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (sqrt (+ (- beta 2) alpha)) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 194 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (/ (sqrt (- (+ alpha beta) (* 2 1))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))))
* * [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 (219 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (- (* (+ beta alpha) (+ beta alpha)) (* 2 2)))) (fabs (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (- (* (+ beta alpha) (+ beta alpha)) (* 2 2)))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (- (+ alpha beta) (* 2 1))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (sqrt (- (+ alpha beta) (* 2 1))) (sqrt (cbrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (- beta 2) alpha)) (sqrt (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (- (* (+ beta alpha) (+ beta alpha)) (* 2 2)))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (+ (- beta 2) alpha)) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 195 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (sqrt (- (+ alpha beta) (* 2 1))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [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 (216 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (sqrt (- (* (+ beta alpha) (+ beta alpha)) (* 2 2)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (sqrt (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))))) (/ (sqrt (- (+ alpha beta) (* 2 1))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (sqrt (- (+ alpha beta) (* 2 1))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (- beta 2) alpha)) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (sqrt (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))))) (/ (sqrt (+ (- beta 2) alpha)) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 196 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))) (sqrt 1)) (/ (sqrt (- (+ alpha beta) (* 2 1))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (235 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt 1)) (sqrt (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt 1)) (sqrt (- (* (+ beta alpha) (+ beta alpha)) (* 2 2)))) (/ (sqrt (- (+ alpha beta) (* 2 1))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (sqrt (- (+ alpha beta) (* 2 1))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- beta (- 2 alpha))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt 1)) (sqrt (- (* (+ beta alpha) (+ beta alpha)) (* 2 2)))) (/ (sqrt (- beta (- 2 alpha))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 197 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (sqrt (- (+ alpha beta) (* 2 1))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [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 (216 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (sqrt (- (* (+ beta alpha) (+ beta alpha)) (* 2 2)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (sqrt (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))))) (/ (sqrt (- (+ alpha beta) (* 2 1))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (sqrt (- (+ alpha beta) (* 2 1))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (- beta 2) alpha)) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (sqrt (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))))) (/ (sqrt (+ (- beta 2) alpha)) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 198 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))) 1) (/ (sqrt (- (+ alpha beta) (* 2 1))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (237 enodes)
* [exit]simplify:  Simplified to (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (- (* (+ beta alpha) (+ beta alpha)) (* 2 2)))) (/ (sqrt (- (+ alpha beta) (* 2 1))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (sqrt (- (+ alpha beta) (* 2 1))) (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- beta (- 2 alpha))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (- (* (+ beta alpha) (+ beta alpha)) (* 2 2)))) (/ (sqrt (- beta (- 2 alpha))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 199 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* 1 (/ (/ (+ (+ (+ 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:  [ 200 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ 1 (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 201 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ 1 (/ (sqrt (+ 2 (+ beta alpha))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 202 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (cbrt (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 203 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (cbrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (sqrt (cbrt (+ (+ beta 2) alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 204 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 205 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt 1)) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (+ 2 (+ beta alpha)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (sqrt (+ alpha (+ beta 2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt 1)) (sqrt (+ alpha (+ beta 2)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 206 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ 2 (+ beta alpha))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 207 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (+ 2 (+ beta alpha)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (sqrt (+ alpha (+ beta 2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (sqrt (+ alpha (+ beta 2)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 208 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (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))))) (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 (84 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (sqrt (+ (+ alpha 2) beta)))) (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (* (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (sqrt (+ (+ alpha 2) beta)))) (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (sqrt (+ (+ alpha 2) beta))))) (/ (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)))
* * * * [misc]progress:  [ 209 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (+ 2 (+ beta alpha))) (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ 2 (+ beta alpha))))) (/ (sqrt (+ 2 (+ beta alpha))) (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 210 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (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))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ 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 (103 enodes)
* * [misc]simplify:  iters left: 2 (128 enodes)
* * [misc]simplify:  iters left: 1 (141 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (* (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (sqrt (+ 2 (+ beta alpha))) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 211 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (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))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (17 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 (123 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (/ (fabs (cbrt (+ (+ 2 beta) 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)) (/ (fabs (cbrt (+ (+ 2 beta) alpha))) (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)))) (/ (sqrt (+ 2 (+ beta alpha))) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 212 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (+ 2 (+ beta alpha))) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (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 (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)) (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [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))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (+ 2 (+ beta alpha))) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 213 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (/ (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)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 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 (80 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* * [misc]simplify:  iters left: 1 (111 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (/ (sqrt 1) (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))) (/ (sqrt 1) (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))))) (/ (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)))
* * * * [misc]progress:  [ 214 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (+ 2 (+ beta alpha))) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (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 (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)) (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [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))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (+ 2 (+ beta alpha))) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 215 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (/ (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)) (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 (88 enodes)
* * [misc]simplify:  iters left: 2 (120 enodes)
* * [misc]simplify:  iters left: 1 (134 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (* (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (/ (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)))
* * * * [misc]progress:  [ 216 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (sqrt (+ 2 (+ beta alpha))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (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)) (* (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 (109 enodes)
* * [misc]simplify:  iters left: 1 (122 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 1 1 1) to (λ (alpha beta) (/ (/ (/ (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (sqrt (+ (+ beta 2) alpha)))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ 2 (+ beta alpha))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 217 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (sqrt (+ 2 (+ beta alpha))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (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)) (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 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (fabs (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (/ (sqrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (+ 2 (+ beta alpha))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 218 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (+ 2 (+ beta alpha))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (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 (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 (84 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (+ 2 (+ beta alpha))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 219 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt 1)) (/ (sqrt (+ 2 (+ beta alpha))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt 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 (95 enodes)
* * [misc]simplify:  iters left: 1 (107 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt 1))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt 1)) (/ (sqrt (+ 2 (+ beta alpha))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 220 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (+ 2 (+ beta alpha))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (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 (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 (84 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (+ 2 (+ beta alpha))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 221 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (/ (sqrt (+ 2 (+ beta alpha))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 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 (93 enodes)
* * [misc]simplify:  iters left: 1 (107 enodes)
* [exit]simplify:  Simplified to (sqrt (+ alpha (+ (* alpha beta) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (sqrt (+ alpha (+ (* alpha beta) (+ beta 1.0)))) (/ (sqrt (+ 2 (+ beta alpha))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 222 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (sqrt (+ 2 (+ beta alpha))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [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 1 1 1) to (λ (alpha beta) (/ (/ (/ (/ (/ 1 (cbrt (sqrt (+ (+ alpha beta) 2)))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (/ (sqrt (+ 2 (+ beta alpha))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 223 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (sqrt (+ 2 (+ beta alpha))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [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 1 1 1) to (λ (alpha beta) (/ (/ (/ (/ 1 (fabs (cbrt (+ (+ alpha beta) 2)))) (/ (sqrt (+ 2 (+ beta alpha))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 224 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (+ 2 (+ beta alpha))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [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 1 1 1) to (λ (alpha beta) (/ (/ (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ 2 (+ beta alpha))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 225 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ 1 (sqrt 1)) (/ (sqrt (+ 2 (+ beta 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 (/ 1 (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (/ 1 (sqrt 1)) (/ (sqrt (+ 2 (+ beta alpha))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 226 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (+ 2 (+ beta alpha))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [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 1 1 1) to (λ (alpha beta) (/ (/ (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ 2 (+ beta alpha))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 227 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ 1 1) (/ (sqrt (+ 2 (+ beta 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 (/ 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 (/ (sqrt (+ 2 (+ beta alpha))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 228 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ 1 (/ (sqrt (+ 2 (+ beta alpha))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 229 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ (sqrt (+ 2 (+ beta alpha))) (/ 1 (sqrt (+ (+ 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 (70 enodes)
* * [misc]simplify:  iters left: 2 (91 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (+ (* alpha beta) (+ beta (+ 1.0 alpha)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (/ (sqrt (+ 2 (+ beta alpha))) (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 230 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3)))) (/ (sqrt (+ 2 (+ beta alpha))) (sqrt (+ (* (+ 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) (sqrt (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (175 enodes)
* * [misc]simplify:  iters left: 2 (374 enodes)
* [exit]simplify:  Simplified to (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ (pow 2 3) (pow (+ beta alpha) 3))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ (pow 2 3) (pow (+ beta alpha) 3)))) (/ (sqrt (+ 2 (+ beta alpha))) (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 231 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))) (/ (sqrt (+ 2 (+ beta alpha))) (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) (+ alpha beta)) (* (* 2 1) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (229 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (- (* (+ beta alpha) (+ beta alpha)) (* 2 2)))) (/ (sqrt (+ 2 (+ beta alpha))) (sqrt (- (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 232 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (pow 2 3) (pow (+ beta alpha) 3)))) (sqrt (+ (* 2 2) (- (* (+ beta alpha) (+ beta alpha)) (* 2 (+ beta alpha)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (+ (* 2 2) (- (* (+ beta alpha) (+ beta alpha)) (* 2 (+ beta alpha)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (283 enodes)
* [exit]simplify:  Simplified to (sqrt (- (+ (* 2 2) (* (+ alpha beta) (+ alpha beta))) (* (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (pow 2 3) (pow (+ beta alpha) 3)))) (sqrt (- (+ (* 2 2) (* (+ alpha beta) (+ alpha beta))) (* (+ alpha beta) 2)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 233 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (- (* 2 2) (* (+ beta alpha) (+ beta alpha))))) (sqrt (- 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (- 2 (+ beta alpha)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (41 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 2) (* (+ beta alpha) (+ beta alpha))))) (sqrt (- (- 2 beta) alpha))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 234 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (sqrt (+ 2 (+ beta alpha))) (sqrt (+ (+ 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 (70 enodes)
* * [misc]simplify:  iters left: 2 (91 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (+ (* alpha beta) (+ beta (+ 1.0 alpha)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (* (sqrt (+ 2 (+ beta alpha))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 235 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (pow (/ (/ (/ (/ (+ (+ (+ 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)) 1))>
* * * * [misc]progress:  [ 236 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (exp (- (- (- (- (log (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (log (sqrt (+ (+ alpha beta) (* 2 1))))) (log (sqrt (+ 2 (+ beta alpha))))) (log (+ (+ alpha beta) (* 2 1)))) (log (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (- (- (- (- (log (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (log (sqrt (+ (+ alpha beta) (* 2 1))))) (log (sqrt (+ 2 (+ beta alpha))))) (log (+ (+ alpha beta) (* 2 1)))) (log (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (144 enodes)
* * [misc]simplify:  iters left: 3 (458 enodes)
* [exit]simplify:  Simplified to (- (- (log (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (log (sqrt (+ 2 (+ beta alpha))))) (+ (log (sqrt (+ 2 (+ beta alpha)))) (+ (log (+ 2 (+ beta alpha))) (log (+ (+ alpha 2) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (exp (- (- (log (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (log (sqrt (+ 2 (+ beta alpha))))) (+ (log (sqrt (+ 2 (+ beta alpha)))) (+ (log (+ 2 (+ beta alpha))) (log (+ (+ alpha 2) (+ beta 1.0))))))))
* * * * [misc]progress:  [ 237 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (exp (- (- (- (log (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (log (sqrt (+ 2 (+ beta alpha))))) (log (+ (+ alpha beta) (* 2 1)))) (log (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (- (- (- (log (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (log (sqrt (+ 2 (+ beta alpha))))) (log (+ (+ alpha beta) (* 2 1)))) (log (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (128 enodes)
* * [misc]simplify:  iters left: 3 (362 enodes)
* [exit]simplify:  Simplified to (- (log (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ (+ alpha 2) beta)))) (+ (+ (log (+ (+ 1.0 2) (+ beta alpha))) (log (+ (+ alpha 2) beta))) (log (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (exp (- (log (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ (+ alpha 2) beta)))) (+ (+ (log (+ (+ 1.0 2) (+ beta alpha))) (log (+ (+ alpha 2) beta))) (log (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 238 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (exp (- (- (log (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (log (+ (+ alpha beta) (* 2 1)))) (log (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (- (- (log (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (log (+ (+ alpha beta) (* 2 1)))) (log (+ (+ (+ 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 (111 enodes)
* * [misc]simplify:  iters left: 3 (239 enodes)
* [exit]simplify:  Simplified to (- (- (log (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (+ (log (+ (+ alpha 2) beta)) (log (+ (+ alpha 2) beta)))) (log (+ (+ alpha 2) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (exp (- (- (log (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (+ (log (+ (+ alpha 2) beta)) (log (+ (+ alpha 2) beta)))) (log (+ (+ alpha 2) (+ beta 1.0))))))
* * * * [misc]progress:  [ 239 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (exp (- (log (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1)))) (log (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (- (log (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1)))) (log (+ (+ (+ 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 (242 enodes)
* [exit]simplify:  Simplified to (- (log (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (log (+ (+ 1.0 alpha) (+ 2 beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (exp (- (log (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (log (+ (+ 1.0 alpha) (+ 2 beta))))))
* * * * [misc]progress:  [ 240 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (exp (log (/ (/ (/ (/ (+ (+ (+ 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:  [ 241 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (log (exp (/ (/ (/ (/ (+ (+ (+ 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:  [ 242 / 2105 ] 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)) (* (* (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (* (* (sqrt (+ 2 (+ beta alpha))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))) (* (* (+ (+ 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)) (* (* (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (* (* (sqrt (+ 2 (+ beta alpha))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))) (* (* (+ (+ 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 (30 enodes)
* * [misc]simplify:  iters left: 5 (111 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (* (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (+ (+ 2 beta) alpha) (sqrt (+ (+ 2 beta) alpha)))) (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (* (+ (+ 2 beta) alpha) (sqrt (+ (+ 2 beta) alpha))))) (* (pow (+ (+ 1.0 2) (+ beta alpha)) 3) (pow (+ (+ 2 beta) alpha) 3)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (cbrt (/ (* (/ (* (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (+ (+ 2 beta) alpha) (sqrt (+ (+ 2 beta) alpha)))) (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (* (+ (+ 2 beta) alpha) (sqrt (+ (+ 2 beta) alpha))))) (* (pow (+ (+ 1.0 2) (+ beta alpha)) 3) (pow (+ (+ 2 beta) alpha) 3)))))
* * * * [misc]progress:  [ 243 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (cbrt (/ (/ (/ (* (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (* (* (sqrt (+ 2 (+ beta alpha))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))) (* (* (+ (+ 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) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (* (* (sqrt (+ 2 (+ beta alpha))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))) (* (* (+ (+ 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 (28 enodes)
* * [misc]simplify:  iters left: 5 (95 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ alpha (+ 2 beta))))) (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ alpha (+ 2 beta)))))) (/ (* (pow (+ (+ 1.0 alpha) (+ 2 beta)) 3) (pow (+ alpha (+ 2 beta)) 3)) (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ alpha (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (cbrt (/ (* (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ alpha (+ 2 beta))))) (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ alpha (+ 2 beta)))))) (/ (* (pow (+ (+ 1.0 alpha) (+ 2 beta)) 3) (pow (+ alpha (+ 2 beta)) 3)) (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ alpha (+ 2 beta)))))))))
* * * * [misc]progress:  [ 244 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (cbrt (/ (/ (* (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (* (* (+ (+ 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) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (* (* (+ (+ 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 (26 enodes)
* * [misc]simplify:  iters left: 5 (90 enodes)
* * [misc]simplify:  iters left: 4 (454 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ (+ 2 beta) alpha)) (* (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 1.0 alpha) (+ 2 beta))) (* (+ (+ 2 beta) alpha) (+ (+ 1.0 alpha) (+ 2 beta))))) (* (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha))) (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (cbrt (* (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ (+ 2 beta) alpha)) (* (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 1.0 alpha) (+ 2 beta))) (* (+ (+ 2 beta) alpha) (+ (+ 1.0 alpha) (+ 2 beta))))) (* (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha))) (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))))))
* * * * [misc]progress:  [ 245 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (cbrt (/ (* (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1)))) (/ (/ (/ (+ (+ (+ 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) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1)))) (/ (/ (/ (+ (+ (+ 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) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (73 enodes)
* * [misc]simplify:  iters left: 4 (293 enodes)
* [exit]simplify:  Simplified to (pow (/ (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (+ (+ 1.0 beta) (+ alpha 2))) 3)
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (cbrt (pow (/ (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (+ (+ 1.0 beta) (+ alpha 2))) 3)))
* * * * [misc]progress:  [ 246 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (cbrt (/ (/ (/ (/ (+ (+ (+ 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))) (cbrt (/ (/ (/ (/ (+ (+ (+ 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)))) (cbrt (/ (/ (/ (/ (+ (+ (+ 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:  [ 247 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (cbrt (* (* (/ (/ (/ (/ (+ (+ (+ 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)) (/ (/ (/ (/ (+ (+ (+ 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))) (/ (/ (/ (/ (+ (+ (+ 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:  [ 248 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (sqrt (/ (/ (/ (/ (+ (+ (+ 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))) (sqrt (/ (/ (/ (/ (+ (+ (+ 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:  [ 249 / 2105 ] simplifiying candidate #<alt (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:  [ 250 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (* (cbrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (+ 2 (+ beta alpha)))) (+ (+ 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 (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (52 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (191 enodes)
* * [misc]simplify:  iters left: 2 (271 enodes)
* * [misc]simplify:  iters left: 1 (431 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (* (+ alpha (+ 2 beta)) (+ alpha (+ 2 beta))))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (* (+ alpha (+ 2 beta)) (+ alpha (+ 2 beta))))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (* (+ alpha (+ 2 beta)) (+ alpha (+ 2 beta))))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (* (+ alpha (+ 2 beta)) (+ alpha (+ 2 beta))))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (cbrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (172 enodes)
* * [misc]simplify:  iters left: 2 (248 enodes)
* * [misc]simplify:  iters left: 1 (408 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (* (+ alpha (+ 2 beta)) (+ alpha (+ 2 beta))))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (* (+ alpha (+ 2 beta)) (+ alpha (+ 2 beta))))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))
* * * * [misc]progress:  [ 251 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (* (cbrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (cbrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* * [misc]simplify:  iters left: 2 (246 enodes)
* * [misc]simplify:  iters left: 1 (406 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (+ 1.0 alpha) beta) (* alpha beta)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))) (/ (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (/ (+ (+ (+ 1.0 alpha) beta) (* alpha beta)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (cbrt (/ (+ (+ (+ 1.0 alpha) beta) (* alpha beta)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))) (/ (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (/ (+ (+ (+ 1.0 alpha) beta) (* alpha beta)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))))) (/ (cbrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (172 enodes)
* * [misc]simplify:  iters left: 2 (248 enodes)
* * [misc]simplify:  iters left: 1 (408 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (cbrt (/ (+ (+ (+ 1.0 alpha) beta) (* alpha beta)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))) (/ (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (/ (+ (+ (+ 1.0 alpha) beta) (* alpha beta)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))))) (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * * * [misc]progress:  [ 252 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (* (cbrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))))) 1) (/ (cbrt (/ (/ (/ (+ (+ (+ 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))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (224 enodes)
* * [misc]simplify:  iters left: 1 (383 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) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (173 enodes)
* * [misc]simplify:  iters left: 2 (250 enodes)
* * [misc]simplify:  iters left: 1 (410 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))) (+ (+ beta alpha) (+ 1.0 2)))
* [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 (+ beta alpha))) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))) (+ (+ beta alpha) (+ 1.0 2)))))
* * * * [misc]progress:  [ 253 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (+ 2 (+ beta alpha)))) (+ (+ 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 (+ 2 (+ beta alpha)))) (+ (+ 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 (47 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (173 enodes)
* * [misc]simplify:  iters left: 2 (250 enodes)
* * [misc]simplify:  iters left: 1 (411 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (172 enodes)
* * [misc]simplify:  iters left: 2 (248 enodes)
* * [misc]simplify:  iters left: 1 (408 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))
* * * * [misc]progress:  [ 254 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (172 enodes)
* * [misc]simplify:  iters left: 2 (248 enodes)
* * [misc]simplify:  iters left: 1 (408 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (172 enodes)
* * [misc]simplify:  iters left: 2 (248 enodes)
* * [misc]simplify:  iters left: 1 (408 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (sqrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * * * [misc]progress:  [ 255 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1)))) 1) (/ (sqrt (/ (/ (/ (+ (+ (+ 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))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (136 enodes)
* * [misc]simplify:  iters left: 2 (205 enodes)
* * [misc]simplify:  iters left: 1 (362 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ (+ 1.0 alpha) beta) (* alpha beta)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (sqrt (/ (+ (+ (+ 1.0 alpha) beta) (* alpha beta)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (/ (sqrt (/ (/ (/ (+ (+ (+ 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))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (/ (/ (+ (+ (+ 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]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (173 enodes)
* * [misc]simplify:  iters left: 2 (250 enodes)
* * [misc]simplify:  iters left: 1 (410 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))) (+ (+ beta alpha) (+ 1.0 2)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (sqrt (/ (+ (+ (+ 1.0 alpha) beta) (* alpha beta)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (/ (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))) (+ (+ beta alpha) (+ 1.0 2)))))
* * * * [misc]progress:  [ 256 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))))) (* (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)))) (sqrt (+ 2 (+ beta alpha))))) (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)))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))))) (* (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 (26 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (126 enodes)
* * [misc]simplify:  iters left: 3 (243 enodes)
* * [misc]simplify:  iters left: 2 (378 enodes)
* * [misc]simplify:  iters left: 1 (453 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ alpha (+ 2 beta)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (cbrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ alpha (+ 2 beta)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ alpha (+ 2 beta)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (cbrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ alpha (+ 2 beta)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))) (/ (/ (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (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)))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (181 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 (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ alpha (+ 2 beta)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (cbrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ alpha (+ 2 beta)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))) (/ (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 257 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))))) (* (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)))) (sqrt (+ 2 (+ beta alpha))))) (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)))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (190 enodes)
* * [misc]simplify:  iters left: 2 (252 enodes)
* * [misc]simplify:  iters left: 1 (283 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (/ (+ (+ 1.0 alpha) (+ (* alpha beta) beta)) (+ beta (+ alpha 2)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (/ (sqrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (/ (+ (+ 1.0 alpha) (+ (* alpha beta) beta)) (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (/ (+ (+ 1.0 alpha) (+ (* alpha beta) beta)) (+ beta (+ alpha 2)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (/ (sqrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (/ (+ (+ 1.0 alpha) (+ (* alpha beta) beta)) (+ beta (+ alpha 2)))))) (/ (/ (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (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)))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (181 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 (/ (+ (+ 1.0 alpha) (+ (* alpha beta) beta)) (+ beta (+ alpha 2)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (/ (sqrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (/ (+ (+ 1.0 alpha) (+ (* alpha beta) beta)) (+ beta (+ alpha 2)))))) (/ (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 258 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (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)))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (380 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ 1.0 beta) (+ (* alpha beta) alpha)) (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (/ (+ (+ 1.0 beta) (+ (* alpha beta) alpha)) (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ 1.0 beta) (+ (* alpha beta) alpha)) (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (/ (+ (+ 1.0 beta) (+ (* alpha beta) alpha)) (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2))))) (/ (/ (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (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)))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (179 enodes)
* * [misc]simplify:  iters left: 2 (305 enodes)
* * [misc]simplify:  iters left: 1 (345 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ alpha (+ 2 beta)))) (* (+ (+ beta alpha) (+ 1.0 2)) (cbrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ 1.0 beta) (+ (* alpha beta) alpha)) (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (/ (+ (+ 1.0 beta) (+ (* alpha beta) alpha)) (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2))))) (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ alpha (+ 2 beta)))) (* (+ (+ beta alpha) (+ 1.0 2)) (cbrt (+ alpha (+ 2 beta)))))))
* * * * [misc]progress:  [ 259 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))))) (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 (+ 2 (+ beta alpha))))) (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 (+ 2 (+ beta alpha))))) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ 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 (50 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (190 enodes)
* * [misc]simplify:  iters left: 2 (263 enodes)
* * [misc]simplify:  iters left: 1 (296 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ (+ alpha 2) beta))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ (+ alpha 2) beta))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ (+ alpha 2) beta))))) (/ (/ (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (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 (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ (+ alpha 2) beta))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ (+ alpha 2) beta))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ (+ alpha 2) beta))))) (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ (+ alpha 2) beta))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))))
* * * * [misc]progress:  [ 260 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))))) (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 (+ 2 (+ beta alpha))))) (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 (+ 2 (+ beta alpha))))) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* * [misc]simplify:  iters left: 2 (193 enodes)
* * [misc]simplify:  iters left: 1 (208 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (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 (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ (+ alpha 2) beta))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ (+ alpha 2) beta))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))))
* * * * [misc]progress:  [ 261 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (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 (+ 2 (+ beta alpha))))) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (243 enodes)
* * [misc]simplify:  iters left: 1 (336 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ beta (+ alpha 2)))) (sqrt (+ beta (+ alpha 2)))) (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ beta (+ alpha 2)))) (sqrt (+ beta (+ alpha 2)))) (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ beta (+ alpha 2))))) (/ (/ (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (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 (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (191 enodes)
* * [misc]simplify:  iters left: 2 (316 enodes)
* * [misc]simplify:  iters left: 1 (370 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (+ (+ beta alpha) (+ 1.0 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ beta (+ alpha 2)))) (sqrt (+ beta (+ alpha 2)))) (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ beta (+ alpha 2))))) (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (+ (+ beta alpha) (+ 1.0 2))))))
* * * * [misc]progress:  [ 262 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))))) 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 (+ 2 (+ beta alpha))))) (+ (+ 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 (+ 2 (+ beta alpha))))) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))))) 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 (50 enodes)
* * [misc]simplify:  iters left: 4 (111 enodes)
* * [misc]simplify:  iters left: 3 (201 enodes)
* * [misc]simplify:  iters left: 2 (344 enodes)
* * [misc]simplify:  iters left: 1 (403 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ (+ alpha 2) beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (cbrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ (+ alpha 2) beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ (+ alpha 2) beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (cbrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ (+ alpha 2) beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (187 enodes)
* * [misc]simplify:  iters left: 2 (230 enodes)
* * [misc]simplify:  iters left: 1 (246 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ (+ alpha 2) beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (cbrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ (+ alpha 2) beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (cbrt (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (+ (+ 2 beta) alpha)))))
* * * * [misc]progress:  [ 263 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (+ 2 (+ beta alpha))))) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (174 enodes)
* * [misc]simplify:  iters left: 2 (265 enodes)
* * [misc]simplify:  iters left: 1 (280 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ 2 (+ beta alpha)))) (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ 2 (+ beta alpha)))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [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))) (+ 2 (+ beta alpha)))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (187 enodes)
* * [misc]simplify:  iters left: 2 (230 enodes)
* * [misc]simplify:  iters left: 1 (246 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) (+ 1.0 alpha))) (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ 2 (+ beta alpha)))) (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ 2 (+ beta alpha)))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (cbrt (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) (+ 1.0 alpha))) (+ (+ 2 beta) alpha)))))
* * * * [misc]progress:  [ 264 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))))) 1) 1) (/ (/ (cbrt (/ (/ (+ (+ (+ 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))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))))) 1) 1)
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (146 enodes)
* * [misc]simplify:  iters left: 1 (158 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) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (436 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ alpha 2) beta))) (* (+ (+ beta 1.0) (+ alpha 2)) (+ beta (+ 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))))) (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ alpha 2) beta))) (* (+ (+ beta 1.0) (+ alpha 2)) (+ beta (+ alpha 2))))))
* * * * [misc]progress:  [ 265 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (* (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)))) (sqrt (+ 2 (+ beta alpha))))) (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)))) (sqrt (+ 2 (+ beta alpha))))) (* (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 (25 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (205 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (+ beta (+ alpha 2)))) (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2)))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (+ beta (+ alpha 2)))) (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2)))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (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)))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (181 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 (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (+ beta (+ alpha 2)))) (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2)))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2)))))) (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 266 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (* (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)))) (sqrt (+ 2 (+ beta alpha))))) (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)))) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (147 enodes)
* * [misc]simplify:  iters left: 2 (182 enodes)
* * [misc]simplify:  iters left: 1 (194 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (+ alpha 2) beta))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (+ alpha 2) beta))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (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)))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (181 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 (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (+ alpha 2) beta))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 267 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (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)))) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (138 enodes)
* * [misc]simplify:  iters left: 1 (150 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ alpha (+ 2 beta)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ 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 (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (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)))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (179 enodes)
* * [misc]simplify:  iters left: 2 (305 enodes)
* * [misc]simplify:  iters left: 1 (345 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ alpha (+ 2 beta)))) (* (+ (+ beta alpha) (+ 1.0 2)) (cbrt (+ alpha (+ 2 beta)))))
* [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 (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ alpha (+ 2 beta)))) (* (+ (+ beta alpha) (+ 1.0 2)) (cbrt (+ alpha (+ 2 beta)))))))
* * * * [misc]progress:  [ 268 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (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 (+ 2 (+ beta alpha))))) (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 (+ 2 (+ beta alpha))))) (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 (47 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (180 enodes)
* * [misc]simplify:  iters left: 1 (196 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ beta (+ alpha 2)))) (* (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ beta (+ alpha 2)))) (* (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (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 (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ (+ alpha 2) beta))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ beta (+ alpha 2)))) (* (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ beta (+ alpha 2))))) (/ (sqrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ (+ alpha 2) beta))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))))
* * * * [misc]progress:  [ 269 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (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 (+ 2 (+ beta alpha))))) (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 (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ (+ alpha 2) beta))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ (+ alpha 2) beta))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (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 (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ (+ alpha 2) beta))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ (+ alpha 2) beta))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (sqrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ (+ alpha 2) beta))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))))
* * * * [misc]progress:  [ 270 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (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 (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (164 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ 1.0 alpha) beta) (* alpha beta)) (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ 1.0 alpha) beta) (* alpha beta)) (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))) (/ (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (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 (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (191 enodes)
* * [misc]simplify:  iters left: 2 (316 enodes)
* * [misc]simplify:  iters left: 1 (370 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (+ (+ beta alpha) (+ 1.0 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ 1.0 alpha) beta) (* alpha beta)) (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))) (/ (sqrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (+ (+ beta alpha) (+ 1.0 2))))))
* * * * [misc]progress:  [ 271 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) 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 (+ 2 (+ beta alpha))))) (+ (+ 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 (+ 2 (+ beta alpha))))) 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 (47 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* * [misc]simplify:  iters left: 2 (194 enodes)
* * [misc]simplify:  iters left: 1 (209 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ beta (+ alpha 2)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ beta (+ alpha 2)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (187 enodes)
* * [misc]simplify:  iters left: 2 (230 enodes)
* * [misc]simplify:  iters left: 1 (246 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ beta (+ alpha 2)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (sqrt (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (+ (+ 2 beta) alpha)))))
* * * * [misc]progress:  [ 272 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (+ 2 (+ beta alpha))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [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 (142 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (190 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (+ (+ alpha 2) beta))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (+ (+ alpha 2) beta))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (187 enodes)
* * [misc]simplify:  iters left: 2 (230 enodes)
* * [misc]simplify:  iters left: 1 (246 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) (+ 1.0 alpha))) (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (+ (+ alpha 2) beta))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (sqrt (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) (+ 1.0 alpha))) (+ (+ 2 beta) alpha)))))
* * * * [misc]progress:  [ 273 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) 1) 1) (/ (/ (sqrt (/ (/ (+ (+ (+ 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))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha))))) 1) 1)
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ (+ alpha 2) beta))) (/ (/ (sqrt (/ (/ (+ (+ (+ 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))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (/ (/ (+ (+ (+ 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]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (436 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ alpha 2) beta))) (* (+ (+ beta 1.0) (+ alpha 2)) (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ (+ alpha 2) beta))) (/ (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ alpha 2) beta))) (* (+ (+ beta 1.0) (+ alpha 2)) (+ beta (+ alpha 2))))))
* * * * [misc]progress:  [ 274 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (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 (sqrt (+ 2 (+ beta alpha))))) (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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (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 (28 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (144 enodes)
* * [misc]simplify:  iters left: 3 (361 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ 2 (+ beta alpha))))) (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ 2 (+ beta alpha)))))) (* (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (* (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ 2 (+ beta alpha))))) (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ 2 (+ beta alpha)))))) (* (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (* (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ 2 (+ beta alpha))))) (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ 2 (+ beta alpha)))))) (* (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (* (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))))) (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 275 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (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 (sqrt (+ 2 (+ beta alpha))))) (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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (134 enodes)
* * [misc]simplify:  iters left: 3 (303 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ 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)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ 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))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (sqrt (+ 2 (+ beta alpha))))))) (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 276 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (117 enodes)
* * [misc]simplify:  iters left: 3 (265 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ beta (+ alpha 2))))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2))))) (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ beta (+ alpha 2))))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ beta (+ alpha 2))))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2))))) (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ beta (+ alpha 2))))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2)))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (184 enodes)
* * [misc]simplify:  iters left: 2 (310 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (* (+ (+ 1.0 beta) (+ alpha 2)) (cbrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ beta (+ alpha 2))))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2))))) (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ beta (+ alpha 2))))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2)))))) (/ (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (* (+ (+ 1.0 beta) (+ alpha 2)) (cbrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 277 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (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))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (282 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ alpha (+ 2 beta))))) (* (sqrt (+ alpha (+ 2 beta))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (/ (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ alpha (+ 2 beta))))) (* (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ alpha (+ 2 beta))))) (* (sqrt (+ alpha (+ 2 beta))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (/ (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ alpha (+ 2 beta))))) (* (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (198 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ alpha (+ 2 beta))))) (* (sqrt (+ alpha (+ 2 beta))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (/ (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ alpha (+ 2 beta))))) (* (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))))) (/ (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 278 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (117 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* * [misc]simplify:  iters left: 2 (382 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (+ 2 (+ beta alpha))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (sqrt (+ 2 (+ beta alpha)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (+ 2 (+ beta alpha))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (sqrt (+ 2 (+ beta alpha))))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (198 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (+ 2 (+ beta alpha))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (sqrt (+ 2 (+ beta alpha))))))) (/ (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 279 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (211 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ (+ alpha 2) beta)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (* (cbrt (sqrt (+ (+ alpha 2) beta))) (sqrt (+ (+ alpha 2) beta))) (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ (+ alpha 2) beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ (+ alpha 2) beta)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (* (cbrt (sqrt (+ (+ alpha 2) beta))) (sqrt (+ (+ alpha 2) beta))) (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ (+ alpha 2) beta)))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (184 enodes)
* * [misc]simplify:  iters left: 2 (315 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta))))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ (+ alpha 2) beta)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (* (cbrt (sqrt (+ (+ alpha 2) beta))) (sqrt (+ (+ alpha 2) beta))) (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ (+ alpha 2) beta)))))) (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta))))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))))))
* * * * [misc]progress:  [ 280 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 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 (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (132 enodes)
* * [misc]simplify:  iters left: 3 (310 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ beta (+ (* alpha beta) (+ 1.0 alpha))) (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (/ (cbrt (/ (+ beta (+ (* alpha beta) (+ 1.0 alpha))) (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ beta (+ (* alpha beta) (+ 1.0 alpha))) (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (/ (cbrt (/ (+ beta (+ (* alpha beta) (+ 1.0 alpha))) (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (213 enodes)
* * [misc]simplify:  iters left: 2 (329 enodes)
* * [misc]simplify:  iters left: 1 (447 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ beta (+ (* alpha beta) (+ 1.0 alpha))) (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (/ (cbrt (/ (+ beta (+ (* alpha beta) (+ 1.0 alpha))) (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))))) (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * * * [misc]progress:  [ 281 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (116 enodes)
* * [misc]simplify:  iters left: 3 (241 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (213 enodes)
* * [misc]simplify:  iters left: 2 (329 enodes)
* * [misc]simplify:  iters left: 1 (447 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * * * [misc]progress:  [ 282 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) 1) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) 1)
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (159 enodes)
* * [misc]simplify:  iters left: 2 (341 enodes)
* * [misc]simplify:  iters left: 1 (414 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (416 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta))))) (* (* (+ (+ 2 beta) (+ 1.0 alpha)) (+ alpha (+ 2 beta))) (cbrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta))))) (* (* (+ (+ 2 beta) (+ 1.0 alpha)) (+ alpha (+ 2 beta))) (cbrt (sqrt (+ alpha (+ 2 beta))))))))
* * * * [misc]progress:  [ 283 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (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))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (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 (28 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (119 enodes)
* * [misc]simplify:  iters left: 3 (288 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (/ (+ (+ beta (+ 1.0 alpha)) (* alpha beta)) (sqrt (+ beta (+ alpha 2))))) (* (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ beta (+ alpha 2)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ beta (+ alpha 2)))))) (/ (fabs (cbrt (+ beta (+ alpha 2)))) (cbrt (/ (+ (+ beta (+ 1.0 alpha)) (* alpha beta)) (sqrt (+ beta (+ alpha 2)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (/ (+ (+ beta (+ 1.0 alpha)) (* alpha beta)) (sqrt (+ beta (+ alpha 2))))) (* (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ beta (+ alpha 2)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ beta (+ alpha 2)))))) (/ (fabs (cbrt (+ beta (+ alpha 2)))) (cbrt (/ (+ (+ beta (+ 1.0 alpha)) (* alpha beta)) (sqrt (+ beta (+ alpha 2))))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (/ (+ (+ beta (+ 1.0 alpha)) (* alpha beta)) (sqrt (+ beta (+ alpha 2))))) (* (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ beta (+ alpha 2)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ beta (+ alpha 2)))))) (/ (fabs (cbrt (+ beta (+ alpha 2)))) (cbrt (/ (+ (+ beta (+ 1.0 alpha)) (* alpha beta)) (sqrt (+ beta (+ alpha 2))))))) (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 284 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (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))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (241 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ alpha (+ 2 beta))))) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))))) (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ alpha (+ 2 beta))))) (fabs (cbrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ alpha (+ 2 beta))))) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))))) (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ alpha (+ 2 beta))))) (fabs (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ alpha (+ 2 beta))))) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))))) (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ alpha (+ 2 beta))))) (fabs (cbrt (+ alpha (+ 2 beta)))))) (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 285 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (197 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta))))) (/ (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ alpha (+ 2 beta))))) (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta))))) (/ (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ alpha (+ 2 beta))))) (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta))))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (184 enodes)
* * [misc]simplify:  iters left: 2 (310 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (cbrt (+ 2 (+ beta alpha)))) (* (+ (+ 1.0 beta) (+ alpha 2)) (cbrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta))))) (/ (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ alpha (+ 2 beta))))) (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta))))))) (/ (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (cbrt (+ 2 (+ beta alpha)))) (* (+ (+ 1.0 beta) (+ alpha 2)) (cbrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 286 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (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 (cbrt (+ 2 (+ beta alpha))))) (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))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (216 enodes)
* * [misc]simplify:  iters left: 2 (386 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ 2 (+ beta alpha))))) (* (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (fabs (cbrt (+ 2 (+ beta alpha)))))) (/ (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ 2 (+ beta alpha))))) (* (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (fabs (cbrt (+ 2 (+ beta alpha)))))) (/ (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (198 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (cbrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ 2 (+ beta alpha))))) (* (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (fabs (cbrt (+ 2 (+ beta alpha)))))) (/ (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (cbrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 287 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (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 (cbrt (+ 2 (+ beta alpha))))) (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))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (183 enodes)
* * [misc]simplify:  iters left: 2 (264 enodes)
* * [misc]simplify:  iters left: 1 (337 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta))))) (fabs (cbrt (+ alpha (+ 2 beta))))) (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta))))) (* (sqrt (+ (+ 2 beta) (+ 1.0 alpha))) (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta))))) (fabs (cbrt (+ alpha (+ 2 beta))))) (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta))))) (* (sqrt (+ (+ 2 beta) (+ 1.0 alpha))) (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (198 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (cbrt (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta))))) (fabs (cbrt (+ alpha (+ 2 beta))))) (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta))))) (* (sqrt (+ (+ 2 beta) (+ 1.0 alpha))) (sqrt (+ alpha (+ 2 beta)))))) (/ (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (cbrt (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 288 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (157 enodes)
* * [misc]simplify:  iters left: 2 (306 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ beta (+ alpha 2))))) (sqrt (+ beta (+ alpha 2)))) (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ beta (+ alpha 2))))) (fabs (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ beta (+ alpha 2))))) (sqrt (+ beta (+ alpha 2)))) (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ beta (+ alpha 2))))) (fabs (cbrt (+ beta (+ alpha 2)))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (184 enodes)
* * [misc]simplify:  iters left: 2 (315 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta))))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ beta (+ alpha 2))))) (sqrt (+ beta (+ alpha 2)))) (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ beta (+ alpha 2))))) (fabs (cbrt (+ beta (+ alpha 2)))))) (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta))))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ alpha (+ 2 beta))))))))
* * * * [misc]progress:  [ 289 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 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 (cbrt (+ 2 (+ beta alpha))))) (+ (+ 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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (229 enodes)
* * [misc]simplify:  iters left: 2 (492 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ 2 (+ beta alpha))))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ 2 (+ beta alpha)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ 2 (+ beta alpha))))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ 2 (+ beta alpha))))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ 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 (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (213 enodes)
* * [misc]simplify:  iters left: 2 (329 enodes)
* * [misc]simplify:  iters left: 1 (447 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (cbrt (+ (+ alpha 2) beta))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ 2 (+ beta alpha))))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ 2 (+ beta alpha))))))) (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (cbrt (+ (+ alpha 2) beta))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * * * [misc]progress:  [ 290 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ 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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (188 enodes)
* * [misc]simplify:  iters left: 2 (327 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ alpha (+ 2 beta))))) (fabs (cbrt (+ alpha (+ 2 beta))))) (/ (sqrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ alpha (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ alpha (+ 2 beta))))) (fabs (cbrt (+ alpha (+ 2 beta))))) (/ (sqrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ alpha (+ 2 beta))))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ 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 (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (213 enodes)
* * [misc]simplify:  iters left: 2 (329 enodes)
* * [misc]simplify:  iters left: 1 (447 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (cbrt (+ (+ alpha 2) beta))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ alpha (+ 2 beta))))) (fabs (cbrt (+ alpha (+ 2 beta))))) (/ (sqrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ alpha (+ 2 beta))))))) (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (cbrt (+ (+ alpha 2) beta))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * * * [misc]progress:  [ 291 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) 1) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ 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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) 1)
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (216 enodes)
* * [misc]simplify:  iters left: 1 (288 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (+ 1.0 alpha) (+ (* alpha beta) beta)) (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (/ (+ (+ 1.0 alpha) (+ (* alpha beta) beta)) (sqrt (+ 2 (+ beta alpha))))) (fabs (cbrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (cbrt (/ (+ (+ 1.0 alpha) (+ (* alpha beta) beta)) (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (/ (+ (+ 1.0 alpha) (+ (* alpha beta) beta)) (sqrt (+ 2 (+ beta alpha))))) (fabs (cbrt (+ 2 (+ beta alpha)))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ 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 (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (416 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta))))) (* (* (+ (+ 2 beta) (+ 1.0 alpha)) (+ alpha (+ 2 beta))) (sqrt (cbrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (cbrt (/ (+ (+ 1.0 alpha) (+ (* alpha beta) beta)) (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (/ (+ (+ 1.0 alpha) (+ (* alpha beta) beta)) (sqrt (+ 2 (+ beta alpha))))) (fabs (cbrt (+ 2 (+ beta alpha)))))) (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta))))) (* (* (+ (+ 2 beta) (+ 1.0 alpha)) (+ alpha (+ 2 beta))) (sqrt (cbrt (+ alpha (+ 2 beta))))))))
* * * * [misc]progress:  [ 292 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (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))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (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 (27 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (117 enodes)
* * [misc]simplify:  iters left: 3 (260 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))))) (/ (sqrt (sqrt (+ 2 (+ 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)) (sqrt (+ 2 (+ beta alpha))))) (* (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))))) (/ (sqrt (sqrt (+ 2 (+ 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))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))))) (/ (sqrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ 2 (+ beta alpha))))))) (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 293 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (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))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (219 enodes)
* * [misc]simplify:  iters left: 2 (363 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ alpha 2) beta)) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta))))) (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ (+ alpha 2) beta)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ alpha 2) beta)) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta))))) (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ (+ alpha 2) beta)))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ alpha 2) beta)) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta))))) (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ (+ alpha 2) beta)))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 294 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (195 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ 2 (+ beta alpha)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ 2 (+ beta alpha))))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (184 enodes)
* * [misc]simplify:  iters left: 2 (310 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (* (+ (+ 1.0 beta) (+ alpha 2)) (cbrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ 2 (+ beta alpha))))))) (/ (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (* (+ (+ 1.0 beta) (+ alpha 2)) (cbrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 295 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (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))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (216 enodes)
* * [misc]simplify:  iters left: 2 (389 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (sqrt (+ beta (+ alpha 2))))) (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (cbrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (sqrt (+ beta (+ alpha 2)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (sqrt (+ beta (+ alpha 2))))) (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (cbrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (sqrt (+ beta (+ alpha 2))))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (198 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (sqrt (+ beta (+ alpha 2))))) (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (cbrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (sqrt (+ beta (+ alpha 2))))))) (/ (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 296 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (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))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (183 enodes)
* * [misc]simplify:  iters left: 2 (263 enodes)
* * [misc]simplify:  iters left: 1 (332 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ beta (+ alpha 2))))) (* (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ beta (+ alpha 2))))) (* (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ beta (+ alpha 2)))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (198 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ beta (+ alpha 2))))) (* (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ beta (+ alpha 2)))))) (/ (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 297 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* * [misc]simplify:  iters left: 2 (304 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ alpha (+ 2 beta))))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ alpha (+ 2 beta))))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ alpha (+ 2 beta))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (184 enodes)
* * [misc]simplify:  iters left: 2 (315 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta))))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ alpha (+ 2 beta))))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta))))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ alpha (+ 2 beta))))))))
* * * * [misc]progress:  [ 298 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 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 (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (230 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ beta (+ alpha 2))))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ beta (+ alpha 2))))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (213 enodes)
* * [misc]simplify:  iters left: 2 (329 enodes)
* * [misc]simplify:  iters left: 1 (447 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ beta (+ alpha 2))))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * * * [misc]progress:  [ 299 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (189 enodes)
* * [misc]simplify:  iters left: 2 (351 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (/ (+ (+ beta alpha) (+ (* alpha beta) 1.0)) (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (sqrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (/ (+ (+ beta alpha) (+ (* alpha beta) 1.0)) (sqrt (+ beta (+ alpha 2)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (/ (+ (+ beta alpha) (+ (* alpha beta) 1.0)) (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (sqrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (/ (+ (+ beta alpha) (+ (* alpha beta) 1.0)) (sqrt (+ beta (+ alpha 2))))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (213 enodes)
* * [misc]simplify:  iters left: 2 (329 enodes)
* * [misc]simplify:  iters left: 1 (447 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (/ (+ (+ beta alpha) (+ (* alpha beta) 1.0)) (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (sqrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (/ (+ (+ beta alpha) (+ (* alpha beta) 1.0)) (sqrt (+ beta (+ alpha 2))))))) (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * * * [misc]progress:  [ 300 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) 1) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) 1)
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (245 enodes)
* * [misc]simplify:  iters left: 1 (370 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ alpha (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ alpha (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ alpha (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ alpha (+ 2 beta))))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (416 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta))))) (* (* (+ (+ 2 beta) (+ 1.0 alpha)) (+ alpha (+ 2 beta))) (sqrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ alpha (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ alpha (+ 2 beta))))))) (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta))))) (* (* (+ (+ 2 beta) (+ 1.0 alpha)) (+ alpha (+ 2 beta))) (sqrt (sqrt (+ alpha (+ 2 beta))))))))
* * * * [misc]progress:  [ 301 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 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))))) (sqrt (+ 2 (+ beta alpha)))) (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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 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 (24 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (253 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))))) (/ (sqrt 1) (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ (+ alpha 2) beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))))) (/ (sqrt 1) (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ (+ alpha 2) beta)))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (188 enodes)
* * [misc]simplify:  iters left: 1 (217 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (sqrt (+ 2 (+ beta 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 (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))))) (/ (sqrt 1) (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ (+ alpha 2) beta)))))) (/ (cbrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 302 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 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))))) (sqrt (+ 2 (+ beta alpha)))) (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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) (* (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 (47 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (217 enodes)
* * [misc]simplify:  iters left: 2 (368 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ 1.0 alpha) (+ (* alpha beta) beta)) (sqrt (+ beta (+ alpha 2))))) (* (sqrt 1) (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (/ (cbrt (/ (+ (+ 1.0 alpha) (+ (* alpha beta) beta)) (sqrt (+ beta (+ alpha 2))))) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ 1.0 alpha) (+ (* alpha beta) beta)) (sqrt (+ beta (+ alpha 2))))) (* (sqrt 1) (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (/ (cbrt (/ (+ (+ 1.0 alpha) (+ (* alpha beta) beta)) (sqrt (+ beta (+ alpha 2))))) (cbrt (+ beta (+ alpha 2))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (188 enodes)
* * [misc]simplify:  iters left: 1 (217 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (sqrt (+ 2 (+ beta 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 (/ (+ (+ 1.0 alpha) (+ (* alpha beta) beta)) (sqrt (+ beta (+ alpha 2))))) (* (sqrt 1) (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (/ (cbrt (/ (+ (+ 1.0 alpha) (+ (* alpha beta) beta)) (sqrt (+ beta (+ alpha 2))))) (cbrt (+ beta (+ alpha 2))))) (/ (cbrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (* (cbrt (+ 2 (+ beta alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 303 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (190 enodes)
* * [misc]simplify:  iters left: 2 (478 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ 2 (+ beta alpha))))) (sqrt 1)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ 2 (+ beta alpha))))) (sqrt 1))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (187 enodes)
* * [misc]simplify:  iters left: 2 (321 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta))))) (* (* (sqrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))) (+ (+ beta alpha) (+ 1.0 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ 2 (+ beta alpha))))) (sqrt 1))) (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta))))) (* (* (sqrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))) (+ (+ beta alpha) (+ 1.0 2))))))
* * * * [misc]progress:  [ 304 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 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 (+ 2 (+ beta alpha)))) (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))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 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 (46 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (212 enodes)
* * [misc]simplify:  iters left: 2 (384 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta))))) (* (* (sqrt 1) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))) (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta))))) (* (* (sqrt 1) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))) (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ alpha (+ 2 beta))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (206 enodes)
* * [misc]simplify:  iters left: 1 (238 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta))))) (* (* (sqrt 1) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))) (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (+ (+ alpha 2) beta)))))
* * * * [misc]progress:  [ 305 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 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 (+ 2 (+ beta alpha)))) (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))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 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 (43 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (178 enodes)
* * [misc]simplify:  iters left: 2 (260 enodes)
* * [misc]simplify:  iters left: 1 (331 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ beta (+ alpha 2))))) (/ (* (sqrt (+ beta (+ alpha 2))) (* (sqrt 1) (sqrt (+ (+ 2 beta) (+ 1.0 alpha))))) (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ beta (+ alpha 2)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ beta (+ alpha 2))))) (/ (* (sqrt (+ beta (+ alpha 2))) (* (sqrt 1) (sqrt (+ (+ 2 beta) (+ 1.0 alpha))))) (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ beta (+ alpha 2))))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (206 enodes)
* * [misc]simplify:  iters left: 1 (238 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ beta (+ alpha 2))))) (/ (* (sqrt (+ beta (+ alpha 2))) (* (sqrt 1) (sqrt (+ (+ 2 beta) (+ 1.0 alpha))))) (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ beta (+ alpha 2))))))) (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (+ (+ alpha 2) beta)))))
* * * * [misc]progress:  [ 306 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (152 enodes)
* * [misc]simplify:  iters left: 2 (302 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ (+ 2 beta) alpha)))) (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ (+ 2 beta) alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt 1)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ (+ 2 beta) alpha)))) (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ (+ 2 beta) alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt 1))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (196 enodes)
* * [misc]simplify:  iters left: 2 (352 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ beta (+ alpha 2))))) (* (+ (+ alpha 2) (+ beta 1.0)) (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ (+ 2 beta) alpha)))) (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ (+ 2 beta) alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt 1))) (/ (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ beta (+ alpha 2))))) (* (+ (+ alpha 2) (+ beta 1.0)) (+ beta (+ alpha 2))))))
* * * * [misc]progress:  [ 307 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 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))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 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 (46 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (226 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))) (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ alpha (+ 2 beta))))) (sqrt 1)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))) (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ alpha (+ 2 beta))))) (sqrt 1))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (227 enodes)
* * [misc]simplify:  iters left: 2 (346 enodes)
* * [misc]simplify:  iters left: 1 (480 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (sqrt (+ (+ 2 beta) alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))) (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ alpha (+ 2 beta))))) (sqrt 1))) (/ (cbrt (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (sqrt (+ (+ 2 beta) alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (+ (+ 2 beta) alpha))))))
* * * * [misc]progress:  [ 308 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (184 enodes)
* * [misc]simplify:  iters left: 2 (336 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (/ (+ (+ (+ 1.0 beta) (* alpha beta)) alpha) (sqrt (+ beta (+ alpha 2))))) (sqrt 1)) (/ (sqrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (/ (+ (+ (+ 1.0 beta) (* alpha beta)) alpha) (sqrt (+ beta (+ alpha 2)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (/ (+ (+ (+ 1.0 beta) (* alpha beta)) alpha) (sqrt (+ beta (+ alpha 2))))) (sqrt 1)) (/ (sqrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (/ (+ (+ (+ 1.0 beta) (* alpha beta)) alpha) (sqrt (+ beta (+ alpha 2))))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (227 enodes)
* * [misc]simplify:  iters left: 2 (346 enodes)
* * [misc]simplify:  iters left: 1 (480 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (sqrt (+ (+ 2 beta) alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (* (sqrt (+ (+ 2 beta) (+ 1.0 alpha))) (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (/ (+ (+ (+ 1.0 beta) (* alpha beta)) alpha) (sqrt (+ beta (+ alpha 2))))) (sqrt 1)) (/ (sqrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (/ (+ (+ (+ 1.0 beta) (* alpha beta)) alpha) (sqrt (+ beta (+ alpha 2))))))) (/ (cbrt (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (sqrt (+ (+ 2 beta) alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (* (sqrt (+ (+ 2 beta) (+ 1.0 alpha))) (+ (+ 2 beta) alpha))))))
* * * * [misc]progress:  [ 309 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) 1) 1) (/ (/ (/ (cbrt (/ (+ (+ (+ 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))))>
* [enter]simplify:  Simplifying (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) 1) 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 (241 enodes)
* * [misc]simplify:  iters left: 1 (398 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (sqrt (+ beta (+ alpha 2))))) (cbrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (sqrt (+ beta (+ alpha 2)))))) (sqrt 1))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (sqrt (+ beta (+ alpha 2))))) (cbrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (sqrt (+ beta (+ alpha 2)))))) (sqrt 1)) (/ (/ (/ (cbrt (/ (+ (+ (+ 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))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (/ (+ (+ (+ 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]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (476 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ alpha 2) beta)) (* (+ (+ alpha 2) beta) (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (sqrt (+ beta (+ alpha 2))))) (cbrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (sqrt (+ beta (+ alpha 2)))))) (sqrt 1)) (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ alpha 2) beta)) (* (+ (+ alpha 2) beta) (+ (+ beta alpha) (+ 1.0 2)))))))
* * * * [misc]progress:  [ 310 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (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))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (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 (27 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (117 enodes)
* * [misc]simplify:  iters left: 3 (260 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))))) (/ (sqrt (sqrt (+ 2 (+ 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)) (sqrt (+ 2 (+ beta alpha))))) (* (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))))) (/ (sqrt (sqrt (+ 2 (+ 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))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))))) (/ (sqrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ 2 (+ beta alpha))))))) (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 311 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (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))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (219 enodes)
* * [misc]simplify:  iters left: 2 (363 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ alpha 2) beta)) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta))))) (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ (+ alpha 2) beta)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ alpha 2) beta)) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta))))) (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ (+ alpha 2) beta)))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ alpha 2) beta)) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta))))) (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ (+ alpha 2) beta)))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 312 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (195 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ 2 (+ beta alpha)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ 2 (+ beta alpha))))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (184 enodes)
* * [misc]simplify:  iters left: 2 (310 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (* (+ (+ 1.0 beta) (+ alpha 2)) (cbrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ 2 (+ beta alpha))))))) (/ (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (* (+ (+ 1.0 beta) (+ alpha 2)) (cbrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 313 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (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))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (216 enodes)
* * [misc]simplify:  iters left: 2 (389 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (sqrt (+ beta (+ alpha 2))))) (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (cbrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (sqrt (+ beta (+ alpha 2)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (sqrt (+ beta (+ alpha 2))))) (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (cbrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (sqrt (+ beta (+ alpha 2))))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (198 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (sqrt (+ beta (+ alpha 2))))) (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (cbrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (sqrt (+ beta (+ alpha 2))))))) (/ (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 314 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (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))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (183 enodes)
* * [misc]simplify:  iters left: 2 (263 enodes)
* * [misc]simplify:  iters left: 1 (332 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ beta (+ alpha 2))))) (* (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ beta (+ alpha 2))))) (* (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ beta (+ alpha 2)))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (198 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ beta (+ alpha 2))))) (* (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ beta (+ alpha 2)))))) (/ (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 315 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* * [misc]simplify:  iters left: 2 (304 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ alpha (+ 2 beta))))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ alpha (+ 2 beta))))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ alpha (+ 2 beta))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (184 enodes)
* * [misc]simplify:  iters left: 2 (315 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta))))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ alpha (+ 2 beta))))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta))))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ alpha (+ 2 beta))))))))
* * * * [misc]progress:  [ 316 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 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 (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (230 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ beta (+ alpha 2))))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ beta (+ alpha 2))))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (213 enodes)
* * [misc]simplify:  iters left: 2 (329 enodes)
* * [misc]simplify:  iters left: 1 (447 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ beta (+ alpha 2))))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * * * [misc]progress:  [ 317 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (189 enodes)
* * [misc]simplify:  iters left: 2 (351 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (/ (+ (+ beta alpha) (+ (* alpha beta) 1.0)) (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (sqrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (/ (+ (+ beta alpha) (+ (* alpha beta) 1.0)) (sqrt (+ beta (+ alpha 2)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (/ (+ (+ beta alpha) (+ (* alpha beta) 1.0)) (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (sqrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (/ (+ (+ beta alpha) (+ (* alpha beta) 1.0)) (sqrt (+ beta (+ alpha 2))))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (213 enodes)
* * [misc]simplify:  iters left: 2 (329 enodes)
* * [misc]simplify:  iters left: 1 (447 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (/ (+ (+ beta alpha) (+ (* alpha beta) 1.0)) (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (sqrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (/ (+ (+ beta alpha) (+ (* alpha beta) 1.0)) (sqrt (+ beta (+ alpha 2))))))) (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * * * [misc]progress:  [ 318 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) 1) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) 1)
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (245 enodes)
* * [misc]simplify:  iters left: 1 (370 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ alpha (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ alpha (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ alpha (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ alpha (+ 2 beta))))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (416 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta))))) (* (* (+ (+ 2 beta) (+ 1.0 alpha)) (+ alpha (+ 2 beta))) (sqrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ alpha (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ alpha (+ 2 beta))))))) (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta))))) (* (* (+ (+ 2 beta) (+ 1.0 alpha)) (+ alpha (+ 2 beta))) (sqrt (sqrt (+ alpha (+ 2 beta))))))))
* * * * [misc]progress:  [ 319 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 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)))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 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 (23 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (122 enodes)
* * [misc]simplify:  iters left: 3 (275 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (188 enodes)
* * [misc]simplify:  iters left: 1 (217 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (sqrt (+ 2 (+ beta 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)) (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))) (/ (cbrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 320 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) 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))))) (sqrt (+ 2 (+ beta alpha)))) (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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) 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 (46 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* * [misc]simplify:  iters left: 3 (239 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta))))) (* (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 (+ alpha (+ 2 beta))))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (188 enodes)
* * [misc]simplify:  iters left: 1 (217 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (sqrt (+ 2 (+ beta 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) alpha) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))))) (/ (cbrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (* (cbrt (+ 2 (+ beta alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 321 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (183 enodes)
* * [misc]simplify:  iters left: 2 (376 enodes)
* * [misc]simplify:  iters left: 1 (458 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ alpha 2) beta)))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (187 enodes)
* * [misc]simplify:  iters left: 2 (321 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta))))) (* (* (sqrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))) (+ (+ beta alpha) (+ 1.0 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta))))) (* (* (sqrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))) (+ (+ beta alpha) (+ 1.0 2))))))
* * * * [misc]progress:  [ 322 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) 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 (+ 2 (+ beta alpha)))) (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))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 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 (21 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (221 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (206 enodes)
* * [misc]simplify:  iters left: 1 (238 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (+ (+ alpha 2) beta)))))
* * * * [misc]progress:  [ 323 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) 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 (+ 2 (+ beta alpha)))) (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))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) 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 (98 enodes)
* * [misc]simplify:  iters left: 3 (197 enodes)
* * [misc]simplify:  iters left: 2 (400 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ 1.0 beta) (+ alpha 2))) (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ 1.0 beta) (+ alpha 2))) (sqrt (+ (+ alpha 2) beta))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (206 enodes)
* * [misc]simplify:  iters left: 1 (238 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ 1.0 beta) (+ alpha 2))) (sqrt (+ (+ alpha 2) beta))))) (/ (cbrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (+ (+ alpha 2) beta)))))
* * * * [misc]progress:  [ 324 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) 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 (79 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* * [misc]simplify:  iters left: 2 (303 enodes)
* * [misc]simplify:  iters left: 1 (319 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ (+ 2 beta) alpha)))) (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ (+ 2 beta) alpha))))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ (+ 2 beta) alpha)))) (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ (+ 2 beta) alpha))))) (sqrt (+ (+ 2 beta) alpha))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (196 enodes)
* * [misc]simplify:  iters left: 2 (352 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ beta (+ alpha 2))))) (* (+ (+ alpha 2) (+ beta 1.0)) (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ (+ 2 beta) alpha)))) (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ (+ 2 beta) alpha))))) (sqrt (+ (+ 2 beta) alpha))) (/ (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ beta (+ alpha 2))))) (* (+ (+ alpha 2) (+ beta 1.0)) (+ beta (+ alpha 2))))))
* * * * [misc]progress:  [ 325 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) 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))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) 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 (41 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (175 enodes)
* * [misc]simplify:  iters left: 2 (285 enodes)
* * [misc]simplify:  iters left: 1 (345 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ beta (+ alpha 2))))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ beta (+ alpha 2))))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ beta (+ alpha 2))))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ beta (+ alpha 2))))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (227 enodes)
* * [misc]simplify:  iters left: 2 (346 enodes)
* * [misc]simplify:  iters left: 1 (480 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (sqrt (+ (+ 2 beta) alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ beta (+ alpha 2))))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ beta (+ alpha 2))))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (cbrt (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (sqrt (+ (+ 2 beta) alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (+ (+ 2 beta) alpha))))))
* * * * [misc]progress:  [ 326 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) 1) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) 1) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (214 enodes)
* * [misc]simplify:  iters left: 1 (238 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (+ 1.0 2) (+ beta alpha))))) (/ (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (227 enodes)
* * [misc]simplify:  iters left: 2 (346 enodes)
* * [misc]simplify:  iters left: 1 (480 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (sqrt (+ (+ 2 beta) alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (* (sqrt (+ (+ 2 beta) (+ 1.0 alpha))) (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (+ 1.0 2) (+ beta alpha))))) (/ (cbrt (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (sqrt (+ (+ 2 beta) alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (* (sqrt (+ (+ 2 beta) (+ 1.0 alpha))) (+ (+ 2 beta) alpha))))))
* * * * [misc]progress:  [ 327 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) 1) 1) 1) (/ (/ (/ (cbrt (/ (+ (+ (+ 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))))>
* [enter]simplify:  Simplifying (/ (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) 1) 1) 1)
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (129 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ (+ 2 beta) alpha)))) (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ (+ 2 beta) alpha)))) (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (/ (cbrt (/ (+ (+ (+ 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))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (/ (+ (+ (+ 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]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (476 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ alpha 2) beta)) (* (+ (+ alpha 2) beta) (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ (+ 2 beta) alpha)))) (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ (+ 2 beta) alpha))))) (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ alpha 2) beta)) (* (+ (+ alpha 2) beta) (+ (+ beta alpha) (+ 1.0 2)))))))
* * * * [misc]progress:  [ 328 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (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 (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (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 (27 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (209 enodes)
* * [misc]simplify:  iters left: 2 (331 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (* (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (* (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ alpha 2) beta))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (* (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ alpha 2) beta))))) (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 329 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (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 (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (177 enodes)
* * [misc]simplify:  iters left: 2 (253 enodes)
* * [misc]simplify:  iters left: 1 (336 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (sqrt (+ alpha (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (sqrt (+ alpha (+ 2 beta))))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (sqrt (+ alpha (+ 2 beta))))))) (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 330 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (236 enodes)
* * [misc]simplify:  iters left: 1 (304 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ beta (+ alpha 2))))) (* (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2)))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ beta (+ alpha 2))))) (* (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2)))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2)))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (184 enodes)
* * [misc]simplify:  iters left: 2 (310 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (* (+ (+ 1.0 beta) (+ alpha 2)) (cbrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ beta (+ alpha 2))))) (* (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2)))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2)))))) (/ (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (* (+ (+ 1.0 beta) (+ alpha 2)) (cbrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 331 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (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))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (179 enodes)
* * [misc]simplify:  iters left: 2 (263 enodes)
* * [misc]simplify:  iters left: 1 (335 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (sqrt (+ beta (+ alpha 2))))) (sqrt (+ beta (+ alpha 2)))) (* (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (sqrt (+ beta (+ alpha 2))))) (sqrt (+ beta (+ alpha 2)))) (* (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (198 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (sqrt (+ beta (+ alpha 2))))) (sqrt (+ beta (+ alpha 2)))) (* (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))))) (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 332 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (156 enodes)
* * [misc]simplify:  iters left: 2 (214 enodes)
* * [misc]simplify:  iters left: 1 (239 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (198 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 333 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (211 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (184 enodes)
* * [misc]simplify:  iters left: 2 (315 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta))))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ alpha (+ 2 beta)))))) (/ (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta))))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))))))
* * * * [misc]progress:  [ 334 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 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 (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (177 enodes)
* * [misc]simplify:  iters left: 2 (245 enodes)
* * [misc]simplify:  iters left: 1 (285 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ beta (+ alpha 2))))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ beta (+ alpha 2))))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (213 enodes)
* * [misc]simplify:  iters left: 2 (329 enodes)
* * [misc]simplify:  iters left: 1 (447 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ beta (+ alpha 2))))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (sqrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * * * [misc]progress:  [ 335 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (150 enodes)
* * [misc]simplify:  iters left: 2 (193 enodes)
* * [misc]simplify:  iters left: 1 (213 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (213 enodes)
* * [misc]simplify:  iters left: 2 (329 enodes)
* * [misc]simplify:  iters left: 1 (447 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (sqrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * * * [misc]progress:  [ 336 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) 1) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) 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 (104 enodes)
* * [misc]simplify:  iters left: 2 (128 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (416 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta))))) (* (* (+ (+ 2 beta) (+ 1.0 alpha)) (+ alpha (+ 2 beta))) (cbrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (/ (sqrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta))))) (* (* (+ (+ 2 beta) (+ 1.0 alpha)) (+ alpha (+ 2 beta))) (cbrt (sqrt (+ alpha (+ 2 beta))))))))
* * * * [misc]progress:  [ 337 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (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))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (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 (27 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (199 enodes)
* * [misc]simplify:  iters left: 2 (305 enodes)
* * [misc]simplify:  iters left: 1 (460 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (sqrt (+ beta (+ alpha 2))))) (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))) (fabs (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (sqrt (+ beta (+ alpha 2))))) (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (sqrt (+ beta (+ alpha 2))))) (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 338 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (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))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (234 enodes)
* * [misc]simplify:  iters left: 1 (305 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ beta (+ alpha 2))))) (* (* (cbrt (+ beta (+ alpha 2))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (fabs (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ beta (+ alpha 2))))) (* (* (cbrt (+ beta (+ alpha 2))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (fabs (cbrt (+ beta (+ alpha 2)))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ beta (+ alpha 2))))) (* (* (cbrt (+ beta (+ alpha 2))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (fabs (cbrt (+ beta (+ alpha 2)))))) (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 339 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ beta (+ alpha 2))))) (* (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))) (fabs (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ beta (+ alpha 2))))) (* (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))) (fabs (cbrt (+ beta (+ alpha 2)))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (184 enodes)
* * [misc]simplify:  iters left: 2 (310 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (cbrt (+ 2 (+ beta alpha)))) (* (+ (+ 1.0 beta) (+ alpha 2)) (cbrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ beta (+ alpha 2))))) (* (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))) (fabs (cbrt (+ beta (+ alpha 2)))))) (/ (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (cbrt (+ 2 (+ beta alpha)))) (* (+ (+ 1.0 beta) (+ alpha 2)) (cbrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 340 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (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 (cbrt (+ 2 (+ beta alpha))))) (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 (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (167 enodes)
* * [misc]simplify:  iters left: 2 (223 enodes)
* * [misc]simplify:  iters left: 1 (254 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ alpha (+ 2 beta))))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (* (* (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (fabs (cbrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ alpha (+ 2 beta))))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (* (* (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (fabs (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (198 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (cbrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ alpha (+ 2 beta))))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (* (* (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (fabs (cbrt (+ alpha (+ 2 beta)))))) (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (cbrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 341 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (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 (cbrt (+ 2 (+ beta alpha))))) (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 (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (143 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ 1.0 alpha) beta) (* alpha beta)) (sqrt (+ beta (+ alpha 2))))) (* (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (fabs (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ 1.0 alpha) beta) (* alpha beta)) (sqrt (+ beta (+ alpha 2))))) (* (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (fabs (cbrt (+ beta (+ alpha 2)))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (198 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (cbrt (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ 1.0 alpha) beta) (* alpha beta)) (sqrt (+ beta (+ alpha 2))))) (* (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (fabs (cbrt (+ beta (+ alpha 2)))))) (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (cbrt (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 342 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (141 enodes)
* * [misc]simplify:  iters left: 1 (157 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ 1.0 alpha) (+ (* alpha beta) beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (+ 2 (+ beta alpha))) (fabs (cbrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ 1.0 alpha) (+ (* alpha beta) beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (+ 2 (+ beta alpha))) (fabs (cbrt (+ 2 (+ beta alpha)))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (184 enodes)
* * [misc]simplify:  iters left: 2 (315 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta))))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ 1.0 alpha) (+ (* alpha beta) beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (+ 2 (+ beta alpha))) (fabs (cbrt (+ 2 (+ beta alpha)))))) (/ (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta))))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ alpha (+ 2 beta))))))))
* * * * [misc]progress:  [ 343 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 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 (cbrt (+ 2 (+ beta alpha))))) (+ (+ 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 (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* * [misc]simplify:  iters left: 2 (216 enodes)
* * [misc]simplify:  iters left: 1 (239 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ alpha (+ 2 beta))))) (* (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (fabs (cbrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ alpha (+ 2 beta))))) (* (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (fabs (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ 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 (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (213 enodes)
* * [misc]simplify:  iters left: 2 (329 enodes)
* * [misc]simplify:  iters left: 1 (447 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (cbrt (+ (+ alpha 2) beta))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ alpha (+ 2 beta))))) (* (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (fabs (cbrt (+ alpha (+ 2 beta)))))) (/ (sqrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (cbrt (+ (+ alpha 2) beta))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * * * [misc]progress:  [ 344 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ 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 (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (180 enodes)
* * [misc]simplify:  iters left: 1 (197 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ 1.0 alpha) beta) (* alpha beta)) (sqrt (+ beta (+ alpha 2))))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (fabs (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ 1.0 alpha) beta) (* alpha beta)) (sqrt (+ beta (+ alpha 2))))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (fabs (cbrt (+ beta (+ alpha 2)))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ 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 (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (213 enodes)
* * [misc]simplify:  iters left: 2 (329 enodes)
* * [misc]simplify:  iters left: 1 (447 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (cbrt (+ (+ alpha 2) beta))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ 1.0 alpha) beta) (* alpha beta)) (sqrt (+ beta (+ alpha 2))))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (fabs (cbrt (+ beta (+ alpha 2)))))) (/ (sqrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (cbrt (+ (+ alpha 2) beta))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * * * [misc]progress:  [ 345 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) 1) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ 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 (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) 1)
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (104 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (139 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (sqrt (+ 2 (+ beta alpha))))) (fabs (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (sqrt (+ 2 (+ beta alpha))))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ 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 (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (416 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta))))) (* (* (+ (+ 2 beta) (+ 1.0 alpha)) (+ alpha (+ 2 beta))) (sqrt (cbrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (sqrt (+ 2 (+ beta alpha))))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta))))) (* (* (+ (+ 2 beta) (+ 1.0 alpha)) (+ alpha (+ 2 beta))) (sqrt (cbrt (+ alpha (+ 2 beta))))))))
* * * * [misc]progress:  [ 346 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (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))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (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 (26 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (185 enodes)
* * [misc]simplify:  iters left: 2 (265 enodes)
* * [misc]simplify:  iters left: 1 (351 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (/ (+ (+ (* 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)))))) (sqrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (+ (* 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)))))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (+ (* 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)))))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 347 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (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))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (161 enodes)
* * [misc]simplify:  iters left: 2 (211 enodes)
* * [misc]simplify:  iters left: 1 (247 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ beta (+ alpha 2))))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (* (sqrt (sqrt (+ beta (+ alpha 2)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ beta (+ alpha 2))))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (* (sqrt (sqrt (+ beta (+ alpha 2)))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ beta (+ alpha 2))))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (* (sqrt (sqrt (+ beta (+ alpha 2)))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 348 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ 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 (sqrt (+ (+ alpha 2) beta))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (184 enodes)
* * [misc]simplify:  iters left: 2 (310 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (* (+ (+ 1.0 beta) (+ alpha 2)) (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 (sqrt (+ (+ alpha 2) beta))))) (/ (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (* (+ (+ 1.0 beta) (+ alpha 2)) (cbrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 349 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ 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 (48 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* * [misc]simplify:  iters left: 2 (220 enodes)
* * [misc]simplify:  iters left: 1 (247 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (198 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 350 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (198 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (198 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha)))))) (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 351 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (141 enodes)
* * [misc]simplify:  iters left: 1 (156 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (184 enodes)
* * [misc]simplify:  iters left: 2 (315 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta))))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))) (/ (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta))))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ alpha (+ 2 beta))))))))
* * * * [misc]progress:  [ 352 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 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 (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha))))) 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 (48 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (216 enodes)
* * [misc]simplify:  iters left: 1 (233 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (213 enodes)
* * [misc]simplify:  iters left: 2 (329 enodes)
* * [misc]simplify:  iters left: 1 (447 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))) (/ (sqrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * * * [misc]progress:  [ 353 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (213 enodes)
* * [misc]simplify:  iters left: 2 (329 enodes)
* * [misc]simplify:  iters left: 1 (447 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (sqrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * * * [misc]progress:  [ 354 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) 1) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha))))) 1) 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 (102 enodes)
* * [misc]simplify:  iters left: 2 (123 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ 2 (+ beta alpha))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ 2 (+ beta alpha))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (416 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta))))) (* (* (+ (+ 2 beta) (+ 1.0 alpha)) (+ alpha (+ 2 beta))) (sqrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ 2 (+ beta alpha))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (sqrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta))))) (* (* (+ (+ 2 beta) (+ 1.0 alpha)) (+ alpha (+ 2 beta))) (sqrt (sqrt (+ alpha (+ 2 beta))))))))
* * * * [misc]progress:  [ 355 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 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))))) (sqrt (+ 2 (+ beta alpha)))) (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))))) (sqrt 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 (47 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (186 enodes)
* * [misc]simplify:  iters left: 2 (266 enodes)
* * [misc]simplify:  iters left: 1 (349 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (sqrt (+ (+ alpha 2) beta)))) (sqrt 1)) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (sqrt (+ (+ alpha 2) beta)))) (sqrt 1)) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (188 enodes)
* * [misc]simplify:  iters left: 1 (217 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (sqrt (+ 2 (+ beta 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 1.0)) (* alpha beta)) (sqrt (+ (+ alpha 2) beta)))) (sqrt 1)) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))) (/ (sqrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 356 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 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))))) (sqrt (+ 2 (+ beta alpha)))) (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))))) (sqrt 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 (44 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* * [misc]simplify:  iters left: 2 (207 enodes)
* * [misc]simplify:  iters left: 1 (242 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ alpha (+ 2 beta))))) (* (* (sqrt 1) (cbrt (+ alpha (+ 2 beta)))) (* (cbrt (+ alpha (+ 2 beta))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ alpha (+ 2 beta))))) (* (* (sqrt 1) (cbrt (+ alpha (+ 2 beta)))) (* (cbrt (+ alpha (+ 2 beta))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (188 enodes)
* * [misc]simplify:  iters left: 1 (217 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (sqrt (+ 2 (+ beta 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) (+ 1.0 alpha)) beta) (sqrt (+ alpha (+ 2 beta))))) (* (* (sqrt 1) (cbrt (+ alpha (+ 2 beta)))) (* (cbrt (+ alpha (+ 2 beta))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))) (/ (sqrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (* (cbrt (+ 2 (+ beta alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 357 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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))))) (sqrt 1)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (161 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ beta (+ alpha 2))))) (* (cbrt (+ beta (+ alpha 2))) (* (sqrt 1) (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ beta (+ alpha 2))))) (* (cbrt (+ beta (+ alpha 2))) (* (sqrt 1) (cbrt (+ beta (+ alpha 2)))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (187 enodes)
* * [misc]simplify:  iters left: 2 (321 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta))))) (* (* (sqrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))) (+ (+ beta alpha) (+ 1.0 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ beta (+ alpha 2))))) (* (cbrt (+ beta (+ alpha 2))) (* (sqrt 1) (cbrt (+ beta (+ alpha 2)))))) (/ (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta))))) (* (* (sqrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))) (+ (+ beta alpha) (+ 1.0 2))))))
* * * * [misc]progress:  [ 358 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 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 (+ 2 (+ beta alpha)))) (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 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 (43 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* * [misc]simplify:  iters left: 2 (210 enodes)
* * [misc]simplify:  iters left: 1 (238 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ beta (+ alpha 2))))) (* (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (* (sqrt 1) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ beta (+ alpha 2))))) (* (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (* (sqrt 1) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (206 enodes)
* * [misc]simplify:  iters left: 1 (238 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ beta (+ alpha 2))))) (* (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (* (sqrt 1) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))))) (/ (sqrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (+ (+ alpha 2) beta)))))
* * * * [misc]progress:  [ 359 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 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 (+ 2 (+ beta alpha)))) (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 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 (40 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (191 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ alpha (+ 2 beta))))) (* (* (sqrt 1) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ alpha (+ 2 beta))))) (* (* (sqrt 1) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (sqrt (+ alpha (+ 2 beta))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (206 enodes)
* * [misc]simplify:  iters left: 1 (238 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ alpha (+ 2 beta))))) (* (* (sqrt 1) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (sqrt (+ alpha (+ 2 beta))))) (/ (sqrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (+ (+ alpha 2) beta)))))
* * * * [misc]progress:  [ 360 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 1)) (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 (67 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (150 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt 1)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt 1))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (196 enodes)
* * [misc]simplify:  iters left: 2 (352 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ beta (+ alpha 2))))) (* (+ (+ alpha 2) (+ beta 1.0)) (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt 1))) (/ (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ beta (+ alpha 2))))) (* (+ (+ alpha 2) (+ beta 1.0)) (+ beta (+ alpha 2))))))
* * * * [misc]progress:  [ 361 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 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))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 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 (43 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (156 enodes)
* * [misc]simplify:  iters left: 2 (206 enodes)
* * [misc]simplify:  iters left: 1 (226 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ beta (+ alpha 2))))) (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (sqrt 1)) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ beta (+ alpha 2))))) (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (sqrt 1)) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (227 enodes)
* * [misc]simplify:  iters left: 2 (346 enodes)
* * [misc]simplify:  iters left: 1 (480 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (sqrt (+ (+ 2 beta) alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ beta (+ alpha 2))))) (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (sqrt 1)) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (/ (sqrt (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (sqrt (+ (+ 2 beta) alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (+ (+ 2 beta) alpha))))))
* * * * [misc]progress:  [ 362 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 1)) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta))))) (* (sqrt 1) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta))))) (* (sqrt 1) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (227 enodes)
* * [misc]simplify:  iters left: 2 (346 enodes)
* * [misc]simplify:  iters left: 1 (480 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (sqrt (+ (+ 2 beta) alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (* (sqrt (+ (+ 2 beta) (+ 1.0 alpha))) (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta))))) (* (sqrt 1) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (sqrt (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (sqrt (+ (+ 2 beta) alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (* (sqrt (+ (+ 2 beta) (+ 1.0 alpha))) (+ (+ 2 beta) alpha))))))
* * * * [misc]progress:  [ 363 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) 1) 1) (/ (/ (/ (sqrt (/ (+ (+ (+ 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))))>
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) 1) 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 (128 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ 2 beta) alpha)))) (sqrt 1))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ 2 beta) alpha)))) (sqrt 1)) (/ (/ (/ (sqrt (/ (+ (+ (+ 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))))
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (/ (+ (+ (+ 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]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (476 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ alpha 2) beta)) (* (+ (+ alpha 2) beta) (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ 2 beta) alpha)))) (sqrt 1)) (/ (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ alpha 2) beta)) (* (+ (+ alpha 2) beta) (+ (+ beta alpha) (+ 1.0 2)))))))
* * * * [misc]progress:  [ 364 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (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))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (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 (26 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (185 enodes)
* * [misc]simplify:  iters left: 2 (265 enodes)
* * [misc]simplify:  iters left: 1 (351 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (/ (+ (+ (* 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)))))) (sqrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (+ (* 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)))))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (+ (* 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)))))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 365 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (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))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (161 enodes)
* * [misc]simplify:  iters left: 2 (211 enodes)
* * [misc]simplify:  iters left: 1 (247 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ beta (+ alpha 2))))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (* (sqrt (sqrt (+ beta (+ alpha 2)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ beta (+ alpha 2))))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (* (sqrt (sqrt (+ beta (+ alpha 2)))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (sqrt (+ beta (+ alpha 2))))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (* (sqrt (sqrt (+ beta (+ alpha 2)))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 366 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (sqrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ 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 (sqrt (+ (+ alpha 2) beta))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (184 enodes)
* * [misc]simplify:  iters left: 2 (310 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (* (+ (+ 1.0 beta) (+ alpha 2)) (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 (sqrt (+ (+ alpha 2) beta))))) (/ (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (* (+ (+ 1.0 beta) (+ alpha 2)) (cbrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 367 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ 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 (48 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* * [misc]simplify:  iters left: 2 (220 enodes)
* * [misc]simplify:  iters left: 1 (247 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (198 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 368 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (198 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (198 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha)))))) (/ (sqrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 369 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (141 enodes)
* * [misc]simplify:  iters left: 1 (156 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (184 enodes)
* * [misc]simplify:  iters left: 2 (315 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta))))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))) (/ (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta))))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ alpha (+ 2 beta))))))))
* * * * [misc]progress:  [ 370 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 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 (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha))))) 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 (48 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (216 enodes)
* * [misc]simplify:  iters left: 1 (233 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (213 enodes)
* * [misc]simplify:  iters left: 2 (329 enodes)
* * [misc]simplify:  iters left: 1 (447 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))) (/ (sqrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * * * [misc]progress:  [ 371 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (213 enodes)
* * [misc]simplify:  iters left: 2 (329 enodes)
* * [misc]simplify:  iters left: 1 (447 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (sqrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * * * [misc]progress:  [ 372 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) 1) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha))))) 1) 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 (102 enodes)
* * [misc]simplify:  iters left: 2 (123 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ 2 (+ beta alpha))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ 2 (+ beta alpha))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (416 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta))))) (* (* (+ (+ 2 beta) (+ 1.0 alpha)) (+ alpha (+ 2 beta))) (sqrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ 2 (+ beta alpha))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (sqrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (sqrt (+ alpha (+ 2 beta))))) (* (* (+ (+ 2 beta) (+ 1.0 alpha)) (+ alpha (+ 2 beta))) (sqrt (sqrt (+ alpha (+ 2 beta))))))))
* * * * [misc]progress:  [ 373 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 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)))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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))))) 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 (46 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (185 enodes)
* * [misc]simplify:  iters left: 2 (332 enodes)
* * [misc]simplify:  iters left: 1 (397 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ alpha (+ 2 beta))))) (* (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ alpha (+ 2 beta)))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ alpha (+ 2 beta))))) (* (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ alpha (+ 2 beta)))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (188 enodes)
* * [misc]simplify:  iters left: 1 (217 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (sqrt (+ 2 (+ beta 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 (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ alpha (+ 2 beta))))) (* (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ alpha (+ 2 beta)))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ alpha (+ 2 beta)))))) (/ (sqrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 374 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) 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))))) (sqrt (+ 2 (+ beta alpha)))) (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))))) 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 (43 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (154 enodes)
* * [misc]simplify:  iters left: 2 (194 enodes)
* * [misc]simplify:  iters left: 1 (209 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ beta (+ alpha 2))))) (* (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ beta (+ alpha 2))))) (* (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (+ beta (+ alpha 2))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (188 enodes)
* * [misc]simplify:  iters left: 1 (217 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (sqrt (+ 2 (+ beta 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 (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (sqrt (+ beta (+ alpha 2))))) (* (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (+ beta (+ alpha 2))))) (/ (sqrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (sqrt (+ 2 (+ beta alpha))))) (* (* (cbrt (+ 2 (+ beta alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 375 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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))))) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (144 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (sqrt (+ (+ 2 beta) alpha)))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (sqrt (+ (+ 2 beta) alpha)))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha)))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (187 enodes)
* * [misc]simplify:  iters left: 2 (321 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta))))) (* (* (sqrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))) (+ (+ beta alpha) (+ 1.0 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (sqrt (+ (+ 2 beta) alpha)))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha)))) (/ (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta))))) (* (* (sqrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))) (+ (+ beta alpha) (+ 1.0 2))))))
* * * * [misc]progress:  [ 376 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) 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 (+ 2 (+ beta alpha)))) (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))))) 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 (89 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (202 enodes)
* * [misc]simplify:  iters left: 1 (218 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ 2 (+ beta alpha))))) (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ 2 (+ beta alpha))))) (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (sqrt (+ 2 (+ beta alpha))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (206 enodes)
* * [misc]simplify:  iters left: 1 (238 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ 2 (+ beta alpha))))) (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (sqrt (+ 2 (+ beta alpha))))) (/ (sqrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (+ (+ alpha 2) beta)))))
* * * * [misc]progress:  [ 377 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) 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 (+ 2 (+ beta alpha)))) (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))))) 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 (83 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 (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (sqrt (+ beta (+ alpha 2))))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (sqrt (+ beta (+ alpha 2))))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (206 enodes)
* * [misc]simplify:  iters left: 1 (238 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (sqrt (+ beta (+ alpha 2))))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (sqrt (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (+ (+ alpha 2) beta)))))
* * * * [misc]progress:  [ 378 / 2105 ] 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) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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))))) 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 (67 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (120 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha)))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (196 enodes)
* * [misc]simplify:  iters left: 2 (352 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ beta (+ alpha 2))))) (* (+ (+ alpha 2) (+ beta 1.0)) (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha)))) (/ (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ beta (+ alpha 2))))) (* (+ (+ alpha 2) (+ beta 1.0)) (+ beta (+ alpha 2))))))
* * * * [misc]progress:  [ 379 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) 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))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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) 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 (40 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) 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) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (227 enodes)
* * [misc]simplify:  iters left: 2 (346 enodes)
* * [misc]simplify:  iters left: 1 (480 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (sqrt (+ (+ 2 beta) alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (sqrt (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (sqrt (+ (+ 2 beta) alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (+ (+ 2 beta) alpha))))))
* * * * [misc]progress:  [ 380 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) 1) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (166 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (sqrt (+ (+ 2 beta) alpha)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (sqrt (+ (+ 2 beta) alpha)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (227 enodes)
* * [misc]simplify:  iters left: 2 (346 enodes)
* * [misc]simplify:  iters left: 1 (480 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (sqrt (+ (+ 2 beta) alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (* (sqrt (+ (+ 2 beta) (+ 1.0 alpha))) (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (sqrt (+ (+ 2 beta) alpha)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (sqrt (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (sqrt (+ (+ 2 beta) alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (* (sqrt (+ (+ 2 beta) (+ 1.0 alpha))) (+ (+ 2 beta) alpha))))))
* * * * [misc]progress:  [ 381 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) 1) 1) 1) (/ (/ (/ (sqrt (/ (+ (+ (+ 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))))>
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) 1) 1) 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 (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))) (/ (/ (/ (sqrt (/ (+ (+ (+ 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))))
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (/ (+ (+ (+ 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]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (476 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ alpha 2) beta)) (* (+ (+ alpha 2) beta) (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))) (/ (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ alpha 2) beta)) (* (+ (+ alpha 2) beta) (+ (+ beta alpha) (+ 1.0 2)))))))
* * * * [misc]progress:  [ 382 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (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 (30 enodes)
* * [misc]simplify:  iters left: 5 (66 enodes)
* * [misc]simplify:  iters left: 4 (168 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (/ (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (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 (+ beta alpha)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (/ (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* * [misc]simplify:  iters left: 2 (236 enodes)
* * [misc]simplify:  iters left: 1 (315 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (cbrt (sqrt (+ 2 (+ beta alpha))))) (* (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (/ (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (cbrt (sqrt (+ 2 (+ beta alpha))))) (* (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 383 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (63 enodes)
* * [misc]simplify:  iters left: 4 (158 enodes)
* * [misc]simplify:  iters left: 3 (446 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) beta))) (/ (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) beta))) (/ (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* * [misc]simplify:  iters left: 2 (236 enodes)
* * [misc]simplify:  iters left: 1 (315 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (cbrt (sqrt (+ 2 (+ beta alpha))))) (* (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) beta))) (/ (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (cbrt (sqrt (+ 2 (+ beta alpha))))) (* (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 384 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (141 enodes)
* * [misc]simplify:  iters left: 3 (445 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (sqrt (+ (+ alpha 2) beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (sqrt (+ (+ alpha 2) beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (211 enodes)
* * [misc]simplify:  iters left: 2 (379 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (+ (+ 1.0 2) (+ beta alpha)) (cbrt (+ (+ alpha 2) beta)))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (sqrt (+ (+ alpha 2) beta)))))) (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (+ (+ 1.0 2) (+ beta alpha)) (cbrt (+ (+ alpha 2) beta)))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 385 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (62 enodes)
* * [misc]simplify:  iters left: 4 (151 enodes)
* * [misc]simplify:  iters left: 3 (438 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (+ (+ alpha 2) beta))) (/ (* (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ (+ alpha 2) beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (+ (+ alpha 2) beta))) (/ (* (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* * [misc]simplify:  iters left: 2 (235 enodes)
* * [misc]simplify:  iters left: 1 (308 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (+ (+ alpha 2) beta))) (/ (* (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))))) (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 386 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (142 enodes)
* * [misc]simplify:  iters left: 3 (389 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (sqrt (+ (+ alpha 2) beta))) (sqrt (+ (+ alpha 2) beta))) (/ (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (sqrt (+ (+ alpha 2) beta))) (sqrt (+ (+ alpha 2) beta))) (/ (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* * [misc]simplify:  iters left: 2 (235 enodes)
* * [misc]simplify:  iters left: 1 (308 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (sqrt (+ (+ alpha 2) beta))) (sqrt (+ (+ alpha 2) beta))) (/ (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 387 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (128 enodes)
* * [misc]simplify:  iters left: 3 (371 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ beta (+ alpha 2))))) (/ (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ beta (+ alpha 2)))) (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ beta (+ alpha 2))))) (/ (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ beta (+ alpha 2)))) (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (202 enodes)
* * [misc]simplify:  iters left: 2 (363 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (cbrt (sqrt (+ beta (+ alpha 2))))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ beta (+ alpha 2))))) (/ (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ beta (+ alpha 2)))) (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))))) (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (cbrt (sqrt (+ beta (+ alpha 2))))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (+ (+ 1.0 alpha) (+ beta 2)))))))
* * * * [misc]progress:  [ 388 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (62 enodes)
* * [misc]simplify:  iters left: 4 (151 enodes)
* * [misc]simplify:  iters left: 3 (413 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (sqrt (+ (+ alpha 2) beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (239 enodes)
* * [misc]simplify:  iters left: 2 (375 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 389 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (139 enodes)
* * [misc]simplify:  iters left: 3 (353 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta))))) (* (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ 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 (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (239 enodes)
* * [misc]simplify:  iters left: 2 (375 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta))))) (* (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 390 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) 1)
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (120 enodes)
* * [misc]simplify:  iters left: 3 (269 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha)))) (* (sqrt (+ beta (+ alpha 2))) (cbrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha)))) (* (sqrt (+ beta (+ alpha 2))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (427 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (* (+ (+ 1.0 2) (+ beta alpha)) (+ 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 (+ beta (+ alpha 2))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (* (+ (+ 1.0 2) (+ beta alpha)) (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 391 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (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 (30 enodes)
* * [misc]simplify:  iters left: 5 (65 enodes)
* * [misc]simplify:  iters left: 4 (148 enodes)
* * [misc]simplify:  iters left: 3 (419 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ alpha (+ 2 beta)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ alpha (+ 2 beta))))) (fabs (cbrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ alpha (+ 2 beta)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ alpha (+ 2 beta))))) (fabs (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (238 enodes)
* * [misc]simplify:  iters left: 1 (281 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (* (sqrt (cbrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ alpha (+ 2 beta)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ alpha (+ 2 beta))))) (fabs (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (* (sqrt (cbrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 392 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (62 enodes)
* * [misc]simplify:  iters left: 4 (138 enodes)
* * [misc]simplify:  iters left: 3 (363 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ alpha (+ (* alpha beta) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ alpha (+ (* alpha beta) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (* (* (fabs (cbrt (+ (+ 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 (+ (* alpha beta) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ alpha (+ (* alpha beta) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (* (* (fabs (cbrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (238 enodes)
* * [misc]simplify:  iters left: 1 (281 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (* (sqrt (cbrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ alpha (+ (* alpha beta) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ alpha (+ (* alpha beta) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (* (* (fabs (cbrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (* (sqrt (cbrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 393 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (121 enodes)
* * [misc]simplify:  iters left: 3 (316 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (fabs (cbrt (+ alpha (+ 2 beta)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (fabs (cbrt (+ alpha (+ 2 beta)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (sqrt (+ alpha (+ 2 beta))))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (214 enodes)
* * [misc]simplify:  iters left: 2 (381 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (cbrt (+ (+ alpha 2) beta))) (sqrt (cbrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (fabs (cbrt (+ alpha (+ 2 beta)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (sqrt (+ alpha (+ 2 beta))))))) (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (cbrt (+ (+ alpha 2) beta))) (sqrt (cbrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 394 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (61 enodes)
* * [misc]simplify:  iters left: 4 (133 enodes)
* * [misc]simplify:  iters left: 3 (322 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ alpha 2) beta)) (fabs (cbrt (+ (+ alpha 2) beta))))) (/ (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ (+ alpha 2) beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ alpha 2) beta)) (fabs (cbrt (+ (+ alpha 2) beta))))) (/ (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (275 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (cbrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ alpha 2) beta)) (fabs (cbrt (+ (+ alpha 2) beta))))) (/ (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (cbrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 395 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (277 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (fabs (cbrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (fabs (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (275 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (cbrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (fabs (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (cbrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 396 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (110 enodes)
* * [misc]simplify:  iters left: 3 (252 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (fabs (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (205 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (sqrt (+ beta (+ alpha 2))) (+ (+ 1.0 alpha) (+ beta 2)))) (* (sqrt (cbrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (sqrt (+ beta (+ alpha 2))) (+ (+ 1.0 alpha) (+ beta 2)))) (* (sqrt (cbrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2))))))))
* * * * [misc]progress:  [ 397 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (61 enodes)
* * [misc]simplify:  iters left: 4 (132 enodes)
* * [misc]simplify:  iters left: 3 (334 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (* (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (cbrt (sqrt (+ (+ alpha 2) beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (* (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (cbrt (sqrt (+ (+ alpha 2) beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (240 enodes)
* * [misc]simplify:  iters left: 2 (381 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (* (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (cbrt (sqrt (+ (+ alpha 2) beta)))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 398 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (123 enodes)
* * [misc]simplify:  iters left: 3 (273 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (fabs (cbrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (fabs (cbrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (sqrt (+ alpha (+ 2 beta))))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (240 enodes)
* * [misc]simplify:  iters left: 2 (381 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (fabs (cbrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (sqrt (+ alpha (+ 2 beta))))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 399 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) 1)
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (212 enodes)
* * [misc]simplify:  iters left: 2 (454 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (fabs (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (430 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ (+ 1.0 2) (+ beta alpha)) (+ 2 (+ beta alpha))) (sqrt (cbrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ (+ 1.0 2) (+ beta alpha)) (+ 2 (+ beta alpha))) (sqrt (cbrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 400 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))))) (* (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (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 (29 enodes)
* * [misc]simplify:  iters left: 5 (63 enodes)
* * [misc]simplify:  iters left: 4 (144 enodes)
* * [misc]simplify:  iters left: 3 (384 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta))) (* (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 (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (238 enodes)
* * [misc]simplify:  iters left: 1 (281 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta)))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 401 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))))) (* (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (134 enodes)
* * [misc]simplify:  iters left: 3 (333 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (238 enodes)
* * [misc]simplify:  iters left: 1 (281 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 402 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (119 enodes)
* * [misc]simplify:  iters left: 3 (308 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ beta (+ alpha 2))))) (cbrt (+ beta (+ alpha 2)))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ beta (+ alpha 2))))) (* (cbrt (+ beta (+ alpha 2))) (sqrt (sqrt (+ beta (+ alpha 2)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ beta (+ alpha 2))))) (cbrt (+ beta (+ alpha 2)))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ beta (+ alpha 2))))) (* (cbrt (+ beta (+ alpha 2))) (sqrt (sqrt (+ beta (+ alpha 2))))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (214 enodes)
* * [misc]simplify:  iters left: 2 (381 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (cbrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ beta (+ alpha 2))))) (cbrt (+ beta (+ alpha 2)))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ beta (+ alpha 2))))) (* (cbrt (+ beta (+ alpha 2))) (sqrt (sqrt (+ beta (+ alpha 2))))))) (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (cbrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 403 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (131 enodes)
* * [misc]simplify:  iters left: 3 (318 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (275 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 404 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (123 enodes)
* * [misc]simplify:  iters left: 3 (273 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ alpha (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ alpha (+ 2 beta))))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (275 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ alpha (+ 2 beta))))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 405 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (253 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) beta))) (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) beta))) (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (205 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (sqrt (+ beta (+ alpha 2))) (+ (+ 1.0 alpha) (+ beta 2)))) (* (sqrt (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) beta))) (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (sqrt (+ beta (+ alpha 2))) (+ (+ 1.0 alpha) (+ beta 2)))) (* (sqrt (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2))))))))
* * * * [misc]progress:  [ 406 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (130 enodes)
* * [misc]simplify:  iters left: 3 (328 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ (+ alpha 2) beta))))) (* (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ (+ alpha 2) beta))))) (* (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (240 enodes)
* * [misc]simplify:  iters left: 2 (381 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ (+ alpha 2) beta))))) (* (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 407 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (121 enodes)
* * [misc]simplify:  iters left: 3 (270 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (240 enodes)
* * [misc]simplify:  iters left: 2 (381 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 408 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))))) 1) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) 1)
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (211 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (430 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ (+ 1.0 2) (+ beta alpha)) (+ 2 (+ beta alpha))) (sqrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ (+ 1.0 2) (+ beta alpha)) (+ 2 (+ beta alpha))) (sqrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 409 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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)) (* (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 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 (26 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (139 enodes)
* * [misc]simplify:  iters left: 3 (377 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (* (sqrt 1) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (* (sqrt 1) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* * [misc]simplify:  iters left: 2 (241 enodes)
* * [misc]simplify:  iters left: 1 (318 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (* (sqrt 1) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 410 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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)) (* (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (129 enodes)
* * [misc]simplify:  iters left: 3 (327 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (+ alpha (+ 2 beta))) (* (sqrt 1) (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (+ alpha (+ 2 beta))) (* (sqrt 1) (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (+ 1.0 2) (+ beta alpha))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* * [misc]simplify:  iters left: 2 (241 enodes)
* * [misc]simplify:  iters left: 1 (318 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (+ alpha (+ 2 beta))) (* (sqrt 1) (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (+ 1.0 2) (+ beta alpha))))) (/ (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 411 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* * [misc]simplify:  iters left: 3 (304 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (* (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))) (sqrt 1)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (* (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))) (sqrt 1))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (205 enodes)
* * [misc]simplify:  iters left: 2 (372 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ beta (+ alpha 2))))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (* (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))) (sqrt 1))) (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ beta (+ alpha 2))))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (+ (+ 1.0 alpha) (+ beta 2))))))
* * * * [misc]progress:  [ 412 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 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 (24 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (126 enodes)
* * [misc]simplify:  iters left: 3 (313 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (sqrt 1)) (/ (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (sqrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (sqrt 1)) (/ (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (sqrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* * [misc]simplify:  iters left: 2 (245 enodes)
* * [misc]simplify:  iters left: 1 (347 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (+ beta (+ alpha 2)) (cbrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (sqrt 1)) (/ (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (sqrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) beta)))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (+ beta (+ alpha 2)) (cbrt (sqrt (+ beta (+ alpha 2))))))))
* * * * [misc]progress:  [ 413 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (118 enodes)
* * [misc]simplify:  iters left: 3 (272 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ alpha (+ (* alpha beta) (+ beta 1.0)))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (/ (* (* (sqrt 1) (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (cbrt (+ alpha (+ (* alpha beta) (+ beta 1.0)))) (cbrt (sqrt (+ (+ 2 beta) alpha))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ alpha (+ (* alpha beta) (+ beta 1.0)))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (/ (* (* (sqrt 1) (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (cbrt (+ alpha (+ (* alpha beta) (+ beta 1.0)))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* * [misc]simplify:  iters left: 2 (245 enodes)
* * [misc]simplify:  iters left: 1 (347 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (* (+ beta (+ alpha 2)) (cbrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ alpha (+ (* alpha beta) (+ beta 1.0)))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (/ (* (* (sqrt 1) (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (cbrt (+ alpha (+ (* alpha beta) (+ beta 1.0)))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (* (+ beta (+ alpha 2)) (cbrt (sqrt (+ beta (+ alpha 2))))))))
* * * * [misc]progress:  [ 414 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (250 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) beta))) (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ (+ alpha 2) beta)))) (sqrt 1)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) beta))) (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ (+ alpha 2) beta)))) (sqrt 1))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (207 enodes)
* * [misc]simplify:  iters left: 2 (390 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (+ (+ beta 2) alpha) (+ (+ 1.0 2) (+ beta alpha)))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) beta))) (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ (+ alpha 2) beta)))) (sqrt 1))) (/ (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (+ (+ beta 2) alpha) (+ (+ 1.0 2) (+ beta alpha)))) (cbrt (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 415 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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)) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) 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 (54 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (324 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt 1)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt 1))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (233 enodes)
* * [misc]simplify:  iters left: 2 (378 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt 1))) (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))))))
* * * * [misc]progress:  [ 416 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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)) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (116 enodes)
* * [misc]simplify:  iters left: 3 (273 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt 1)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt 1))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (233 enodes)
* * [misc]simplify:  iters left: 2 (378 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt 1))) (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))))))
* * * * [misc]progress:  [ 417 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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)) 1) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) 1) 1)
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (203 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (sqrt (+ beta (+ alpha 2))))) (sqrt 1)) (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (sqrt (+ beta (+ alpha 2))))) (sqrt 1)) (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (469 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (* (* (* (+ (+ beta 2) alpha) (+ (+ 1.0 2) (+ beta alpha))) (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (sqrt (+ beta (+ alpha 2))))) (sqrt 1)) (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (* (* (* (+ (+ beta 2) alpha) (+ (+ 1.0 2) (+ beta alpha))) (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))))
* * * * [misc]progress:  [ 418 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))))) (* (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (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 (29 enodes)
* * [misc]simplify:  iters left: 5 (63 enodes)
* * [misc]simplify:  iters left: 4 (144 enodes)
* * [misc]simplify:  iters left: 3 (384 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta))) (* (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 (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (238 enodes)
* * [misc]simplify:  iters left: 1 (281 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta)))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 419 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))))) (* (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (134 enodes)
* * [misc]simplify:  iters left: 3 (333 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (238 enodes)
* * [misc]simplify:  iters left: 1 (281 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 420 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (119 enodes)
* * [misc]simplify:  iters left: 3 (308 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ beta (+ alpha 2))))) (cbrt (+ beta (+ alpha 2)))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ beta (+ alpha 2))))) (* (cbrt (+ beta (+ alpha 2))) (sqrt (sqrt (+ beta (+ alpha 2)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ beta (+ alpha 2))))) (cbrt (+ beta (+ alpha 2)))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ beta (+ alpha 2))))) (* (cbrt (+ beta (+ alpha 2))) (sqrt (sqrt (+ beta (+ alpha 2))))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (214 enodes)
* * [misc]simplify:  iters left: 2 (381 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (cbrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ beta (+ alpha 2))))) (cbrt (+ beta (+ alpha 2)))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ beta (+ alpha 2))))) (* (cbrt (+ beta (+ alpha 2))) (sqrt (sqrt (+ beta (+ alpha 2))))))) (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (cbrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 421 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (131 enodes)
* * [misc]simplify:  iters left: 3 (318 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (275 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 422 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (123 enodes)
* * [misc]simplify:  iters left: 3 (273 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ alpha (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ alpha (+ 2 beta))))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (275 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ alpha (+ 2 beta))))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 423 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (253 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) beta))) (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) beta))) (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (205 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (sqrt (+ beta (+ alpha 2))) (+ (+ 1.0 alpha) (+ beta 2)))) (* (sqrt (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) beta))) (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (sqrt (+ beta (+ alpha 2))) (+ (+ 1.0 alpha) (+ beta 2)))) (* (sqrt (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2))))))))
* * * * [misc]progress:  [ 424 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (130 enodes)
* * [misc]simplify:  iters left: 3 (328 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ (+ alpha 2) beta))))) (* (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ (+ alpha 2) beta))))) (* (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (240 enodes)
* * [misc]simplify:  iters left: 2 (381 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ (+ alpha 2) beta))))) (* (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 425 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (121 enodes)
* * [misc]simplify:  iters left: 3 (270 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (240 enodes)
* * [misc]simplify:  iters left: 2 (381 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 426 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))))) 1) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) 1)
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (211 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (430 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ (+ 1.0 2) (+ beta alpha)) (+ 2 (+ beta alpha))) (sqrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ (+ 1.0 2) (+ beta alpha)) (+ 2 (+ beta alpha))) (sqrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 427 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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) (* (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 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 (25 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (148 enodes)
* * [misc]simplify:  iters left: 3 (426 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ alpha (+ 2 beta))))) (/ (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ alpha (+ 2 beta))))) (/ (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* * [misc]simplify:  iters left: 2 (241 enodes)
* * [misc]simplify:  iters left: 1 (318 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ alpha (+ 2 beta))))) (/ (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 428 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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) (* (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (140 enodes)
* * [misc]simplify:  iters left: 3 (375 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ alpha (+ 2 beta))))) (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ alpha (+ 2 beta))))) (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (+ alpha (+ 2 beta))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* * [misc]simplify:  iters left: 2 (241 enodes)
* * [misc]simplify:  iters left: 1 (318 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ alpha (+ 2 beta))))) (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (+ alpha (+ 2 beta))))) (/ (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 429 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (120 enodes)
* * [misc]simplify:  iters left: 3 (287 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ alpha 2) beta))) (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ alpha 2) beta))) (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ alpha 2) beta)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (205 enodes)
* * [misc]simplify:  iters left: 2 (372 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ beta (+ alpha 2))))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ alpha 2) beta))) (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ alpha 2) beta)))) (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ beta (+ alpha 2))))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (+ (+ 1.0 alpha) (+ beta 2))))))
* * * * [misc]progress:  [ 430 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 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 (23 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (127 enodes)
* * [misc]simplify:  iters left: 3 (332 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* * [misc]simplify:  iters left: 2 (245 enodes)
* * [misc]simplify:  iters left: 1 (347 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (+ beta (+ alpha 2)) (cbrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (+ beta (+ alpha 2)) (cbrt (sqrt (+ beta (+ alpha 2))))))))
* * * * [misc]progress:  [ 431 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) 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 (50 enodes)
* * [misc]simplify:  iters left: 4 (121 enodes)
* * [misc]simplify:  iters left: 3 (291 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* * [misc]simplify:  iters left: 2 (245 enodes)
* * [misc]simplify:  iters left: 1 (347 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (* (+ beta (+ alpha 2)) (cbrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (* (+ beta (+ alpha 2)) (cbrt (sqrt (+ beta (+ alpha 2))))))))
* * * * [misc]progress:  [ 432 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (230 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (207 enodes)
* * [misc]simplify:  iters left: 2 (390 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (+ (+ beta 2) alpha) (+ (+ 1.0 2) (+ beta alpha)))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (+ (+ beta 2) alpha) (+ (+ 1.0 2) (+ beta alpha)))) (cbrt (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 433 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) 1) 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 (51 enodes)
* * [misc]simplify:  iters left: 4 (131 enodes)
* * [misc]simplify:  iters left: 3 (307 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (233 enodes)
* * [misc]simplify:  iters left: 2 (378 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))))))
* * * * [misc]progress:  [ 434 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) 1) 1) (sqrt (+ (+ (+ 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 (116 enodes)
* * [misc]simplify:  iters left: 3 (235 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (233 enodes)
* * [misc]simplify:  iters left: 2 (378 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))))))
* * * * [misc]progress:  [ 435 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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) 1) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) 1) 1) 1)
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (157 enodes)
* * [misc]simplify:  iters left: 2 (326 enodes)
* * [misc]simplify:  iters left: 1 (398 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (469 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (* (* (* (+ (+ beta 2) alpha) (+ (+ 1.0 2) (+ beta alpha))) (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (* (* (* (+ (+ beta 2) alpha) (+ (+ 1.0 2) (+ beta alpha))) (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))))
* * * * [misc]progress:  [ 436 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (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 (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (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 (28 enodes)
* * [misc]simplify:  iters left: 5 (61 enodes)
* * [misc]simplify:  iters left: 4 (135 enodes)
* * [misc]simplify:  iters left: 3 (349 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ beta (+ (* alpha beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (* (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (/ (/ (cbrt (+ beta (+ (* alpha beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (fabs (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ beta (+ (* alpha beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (* (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (/ (/ (cbrt (+ beta (+ (* alpha beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (275 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (cbrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ beta (+ (* alpha beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (* (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (/ (/ (cbrt (+ beta (+ (* alpha beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (cbrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 437 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (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 (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (302 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (* (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (* (cbrt (+ (+ alpha 2) beta)) (fabs (cbrt (+ (+ alpha 2) beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (* (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (* (cbrt (+ (+ alpha 2) beta)) (fabs (cbrt (+ (+ alpha 2) beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (275 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (cbrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (* (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (* (cbrt (+ (+ alpha 2) beta)) (fabs (cbrt (+ (+ alpha 2) beta)))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (cbrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 438 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (110 enodes)
* * [misc]simplify:  iters left: 3 (276 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (fabs (cbrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (fabs (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (205 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (cbrt (+ beta (+ alpha 2))) (+ (+ 1.0 alpha) (+ beta 2)))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (sqrt (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (fabs (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (cbrt (+ beta (+ alpha 2))) (+ (+ 1.0 alpha) (+ beta 2)))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (sqrt (cbrt (+ beta (+ alpha 2))))))))
* * * * [misc]progress:  [ 439 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (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 (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (123 enodes)
* * [misc]simplify:  iters left: 3 (289 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (* (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (* (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (238 enodes)
* * [misc]simplify:  iters left: 1 (281 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (cbrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (* (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (cbrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 440 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (115 enodes)
* * [misc]simplify:  iters left: 3 (254 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ beta (+ alpha 2))))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ beta (+ alpha 2))))) (fabs (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ beta (+ alpha 2))))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ beta (+ alpha 2))))) (fabs (cbrt (+ beta (+ alpha 2)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (238 enodes)
* * [misc]simplify:  iters left: 1 (281 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (cbrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ beta (+ alpha 2))))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (sqrt (+ beta (+ alpha 2))))) (fabs (cbrt (+ beta (+ alpha 2)))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (cbrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 441 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (228 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (* (sqrt (+ (+ alpha 2) beta)) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ (+ alpha 2) beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (* (sqrt (+ (+ alpha 2) beta)) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (214 enodes)
* * [misc]simplify:  iters left: 2 (381 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (sqrt (cbrt (+ (+ alpha 2) beta)))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (* (sqrt (+ (+ alpha 2) beta)) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))))) (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (sqrt (cbrt (+ (+ alpha 2) beta)))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 442 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (302 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ beta (+ (+ 1.0 alpha) (* alpha beta)))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (/ (/ (cbrt (+ beta (+ (+ 1.0 alpha) (* alpha beta)))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (fabs (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ beta (+ (+ 1.0 alpha) (* alpha beta)))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (/ (/ (cbrt (+ beta (+ (+ 1.0 alpha) (* alpha beta)))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (240 enodes)
* * [misc]simplify:  iters left: 2 (381 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (cbrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ beta (+ (+ 1.0 alpha) (* alpha beta)))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (/ (/ (cbrt (+ beta (+ (+ 1.0 alpha) (* alpha beta)))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (cbrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 443 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* * [misc]simplify:  iters left: 3 (251 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (fabs (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (240 enodes)
* * [misc]simplify:  iters left: 2 (381 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (cbrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (cbrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 444 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) 1)
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (195 enodes)
* * [misc]simplify:  iters left: 2 (453 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (fabs (cbrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (fabs (cbrt (+ alpha (+ 2 beta))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (430 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (* (* (+ (+ 1.0 2) (+ beta alpha)) (+ 2 (+ beta alpha))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (fabs (cbrt (+ alpha (+ 2 beta))))) (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (* (* (+ (+ 1.0 2) (+ beta alpha)) (+ 2 (+ beta alpha))) (cbrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 445 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (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 (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (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 (28 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (126 enodes)
* * [misc]simplify:  iters left: 3 (289 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* * [misc]simplify:  iters left: 2 (235 enodes)
* * [misc]simplify:  iters left: 1 (260 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (cbrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (cbrt (+ (+ alpha 2) beta)))))
* * * * [misc]progress:  [ 446 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (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 (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (116 enodes)
* * [misc]simplify:  iters left: 3 (249 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (* (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (pow (cbrt (+ beta (+ alpha 2))) 3)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (* (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (pow (cbrt (+ beta (+ alpha 2))) 3))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* * [misc]simplify:  iters left: 2 (235 enodes)
* * [misc]simplify:  iters left: 1 (260 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (cbrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (* (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (pow (cbrt (+ beta (+ alpha 2))) 3))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (cbrt (+ (+ alpha 2) beta)))))
* * * * [misc]progress:  [ 447 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (186 enodes)
* * [misc]simplify:  iters left: 2 (424 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (+ (+ alpha 2) beta)) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (+ (+ 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))) (cbrt (+ (+ alpha 2) beta)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (219 enodes)
* * [misc]simplify:  iters left: 2 (426 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (* (cbrt (+ beta (+ alpha 2))) (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ beta (+ alpha 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))) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (* (cbrt (+ beta (+ alpha 2))) (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 448 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (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 (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (115 enodes)
* * [misc]simplify:  iters left: 3 (227 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))))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (* (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))))
* [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 (+ (+ 2 beta) (+ 1.0 alpha))) (* (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* * [misc]simplify:  iters left: 2 (226 enodes)
* * [misc]simplify:  iters left: 1 (270 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (sqrt (+ 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 (+ (+ 2 beta) (+ 1.0 alpha))) (* (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 449 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (196 enodes)
* * [misc]simplify:  iters left: 2 (371 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* * [misc]simplify:  iters left: 2 (226 enodes)
* * [misc]simplify:  iters left: 1 (270 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 450 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (167 enodes)
* * [misc]simplify:  iters left: 2 (371 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (/ (sqrt (+ 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 (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (/ (sqrt (+ beta (+ alpha 2))) (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (211 enodes)
* * [misc]simplify:  iters left: 2 (369 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (sqrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha 2) beta)) (+ (+ 1.0 2) (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (/ (sqrt (+ beta (+ alpha 2))) (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)))) (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (sqrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha 2) beta)) (+ (+ 1.0 2) (+ beta alpha))))))
* * * * [misc]progress:  [ 451 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ 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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (220 enodes)
* * [misc]simplify:  iters left: 2 (491 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ alpha (+ 2 beta)))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ alpha (+ 2 beta)))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (239 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (cbrt (+ 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))) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ alpha (+ 2 beta)))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (cbrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 452 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ 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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (187 enodes)
* * [misc]simplify:  iters left: 2 (321 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (239 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (cbrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (cbrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 453 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ 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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) 1)
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (136 enodes)
* * [misc]simplify:  iters left: 2 (208 enodes)
* * [misc]simplify:  iters left: 1 (459 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (+ (+ 2 beta) alpha)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (427 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (* (* (+ (+ 1.0 2) (+ beta alpha)) (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (* (* (+ (+ 1.0 2) (+ beta alpha)) (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 454 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))))) (* (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 (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (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 (27 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (123 enodes)
* * [misc]simplify:  iters left: 3 (294 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (fabs (cbrt (+ alpha (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (fabs (cbrt (+ alpha (+ 2 beta))))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (275 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (cbrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (fabs (cbrt (+ alpha (+ 2 beta))))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (cbrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 455 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))))) (* (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 (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (256 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (/ (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))))) (* (fabs (cbrt (+ (+ 2 beta) alpha))) (* (* (cbrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (/ (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))))) (* (fabs (cbrt (+ (+ 2 beta) alpha))) (* (* (cbrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (275 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (cbrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (/ (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))))) (* (fabs (cbrt (+ (+ 2 beta) alpha))) (* (* (cbrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (cbrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 456 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (224 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (+ (+ 2 beta) alpha))) (/ (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (fabs (cbrt (+ (+ 2 beta) alpha)))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (+ (+ 2 beta) alpha))) (/ (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (fabs (cbrt (+ (+ 2 beta) alpha)))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (205 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (cbrt (+ beta (+ alpha 2))) (+ (+ 1.0 alpha) (+ beta 2)))) (* (sqrt (sqrt (+ beta (+ alpha 2)))) (sqrt (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (+ (+ 2 beta) alpha))) (/ (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (fabs (cbrt (+ (+ 2 beta) alpha)))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (cbrt (+ beta (+ alpha 2))) (+ (+ 1.0 alpha) (+ beta 2)))) (* (sqrt (sqrt (+ beta (+ alpha 2)))) (sqrt (cbrt (+ beta (+ alpha 2))))))))
* * * * [misc]progress:  [ 457 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))))) (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 (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (248 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (+ beta (+ alpha 2)))) (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (fabs (cbrt (+ beta (+ alpha 2)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (+ beta (+ alpha 2)))) (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (fabs (cbrt (+ beta (+ alpha 2))))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (238 enodes)
* * [misc]simplify:  iters left: 1 (281 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (cbrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (+ beta (+ alpha 2)))) (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (fabs (cbrt (+ beta (+ alpha 2))))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (cbrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 458 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (214 enodes)
* * [misc]simplify:  iters left: 2 (380 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (sqrt (sqrt (+ beta (+ alpha 2))))) (* (sqrt (+ (+ 1.0 beta) (+ alpha 2))) (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (sqrt (sqrt (+ beta (+ alpha 2))))) (* (sqrt (+ (+ 1.0 beta) (+ alpha 2))) (sqrt (+ beta (+ alpha 2)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (238 enodes)
* * [misc]simplify:  iters left: 1 (281 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (cbrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (sqrt (sqrt (+ beta (+ alpha 2))))) (* (sqrt (+ (+ 1.0 beta) (+ alpha 2))) (sqrt (+ beta (+ alpha 2)))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (cbrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 459 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (183 enodes)
* * [misc]simplify:  iters left: 2 (450 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (fabs (cbrt (+ alpha (+ 2 beta)))))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (fabs (cbrt (+ alpha (+ 2 beta)))))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (214 enodes)
* * [misc]simplify:  iters left: 2 (381 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (sqrt (cbrt (+ (+ alpha 2) beta)))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (sqrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (fabs (cbrt (+ alpha (+ 2 beta)))))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (sqrt (cbrt (+ (+ alpha 2) beta)))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (sqrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 460 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (259 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (fabs (cbrt (+ alpha (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (fabs (cbrt (+ alpha (+ 2 beta))))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (240 enodes)
* * [misc]simplify:  iters left: 2 (381 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (cbrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (fabs (cbrt (+ alpha (+ 2 beta))))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (cbrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 461 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (214 enodes)
* * [misc]simplify:  iters left: 2 (451 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (fabs (cbrt (+ (+ 2 beta) alpha)))) (/ (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (fabs (cbrt (+ (+ 2 beta) alpha)))) (/ (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (240 enodes)
* * [misc]simplify:  iters left: 2 (381 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (cbrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (fabs (cbrt (+ (+ 2 beta) alpha)))) (/ (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (cbrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 462 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))))) 1) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) 1)
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (157 enodes)
* * [misc]simplify:  iters left: 2 (305 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (430 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (* (* (+ (+ 1.0 2) (+ beta alpha)) (+ 2 (+ beta alpha))) (sqrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (* (* (+ (+ 1.0 2) (+ beta alpha)) (+ 2 (+ beta alpha))) (sqrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 463 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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)) (* (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 (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 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 (24 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (118 enodes)
* * [misc]simplify:  iters left: 3 (291 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (sqrt 1)) (* (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (fabs (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (sqrt 1)) (* (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (159 enodes)
* * [misc]simplify:  iters left: 2 (231 enodes)
* * [misc]simplify:  iters left: 1 (273 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (cbrt (+ beta (+ alpha 2)))) (* (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))) (sqrt (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (sqrt 1)) (* (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (cbrt (+ beta (+ alpha 2)))) (* (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))) (sqrt (cbrt (+ beta (+ alpha 2))))))))
* * * * [misc]progress:  [ 464 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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)) (* (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 (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) (* (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 (50 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (251 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (fabs (cbrt (+ alpha (+ 2 beta))))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (sqrt 1) (sqrt (+ (+ beta alpha) (+ 1.0 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (fabs (cbrt (+ alpha (+ 2 beta))))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (sqrt 1) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (159 enodes)
* * [misc]simplify:  iters left: 2 (231 enodes)
* * [misc]simplify:  iters left: 1 (273 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (cbrt (+ beta (+ alpha 2)))) (* (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (sqrt (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (fabs (cbrt (+ alpha (+ 2 beta))))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (sqrt 1) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (cbrt (+ beta (+ alpha 2)))) (* (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (sqrt (cbrt (+ beta (+ alpha 2))))))))
* * * * [misc]progress:  [ 465 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (221 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ alpha (+ 2 beta))) (sqrt 1))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ alpha (+ 2 beta))) (fabs (cbrt (+ alpha (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ alpha (+ 2 beta))) (sqrt 1))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ alpha (+ 2 beta))) (fabs (cbrt (+ alpha (+ 2 beta))))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (211 enodes)
* * [misc]simplify:  iters left: 2 (371 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (* (* (+ (+ 1.0 2) (+ beta alpha)) (cbrt (+ (+ beta 2) alpha))) (sqrt (cbrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ alpha (+ 2 beta))) (sqrt 1))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ alpha (+ 2 beta))) (fabs (cbrt (+ alpha (+ 2 beta))))))) (/ (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (* (* (+ (+ 1.0 2) (+ beta alpha)) (cbrt (+ (+ beta 2) alpha))) (sqrt (cbrt (+ (+ beta 2) alpha)))))))
* * * * [misc]progress:  [ 466 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ (+ 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 (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 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 (25 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (243 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt 1)) (* (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (fabs (cbrt (+ alpha (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt 1)) (* (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (fabs (cbrt (+ alpha (+ 2 beta))))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* * [misc]simplify:  iters left: 2 (254 enodes)
* * [misc]simplify:  iters left: 1 (358 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt 1)) (* (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (fabs (cbrt (+ alpha (+ 2 beta))))))) (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 467 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (214 enodes)
* * [misc]simplify:  iters left: 2 (382 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (fabs (cbrt (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (sqrt 1) (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (fabs (cbrt (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (sqrt 1) (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* * [misc]simplify:  iters left: 2 (254 enodes)
* * [misc]simplify:  iters left: 1 (358 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (fabs (cbrt (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (sqrt 1) (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta)))))) (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 468 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (182 enodes)
* * [misc]simplify:  iters left: 2 (449 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt 1))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (fabs (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt 1))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (199 enodes)
* * [misc]simplify:  iters left: 2 (382 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (* (+ (+ 1.0 alpha) (+ beta 2)) (+ beta (+ alpha 2)))) (sqrt (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt 1))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (* (+ (+ 1.0 alpha) (+ beta 2)) (+ beta (+ alpha 2)))) (sqrt (cbrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 469 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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)) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) 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 (51 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (252 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (sqrt 1)) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (sqrt 1)) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* * [misc]simplify:  iters left: 2 (376 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (+ 2 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (sqrt (cbrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (sqrt 1)) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))) (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (+ 2 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (sqrt (cbrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 470 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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)) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (211 enodes)
* * [misc]simplify:  iters left: 2 (439 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (fabs (cbrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (* (sqrt 1) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (fabs (cbrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (* (sqrt 1) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* * [misc]simplify:  iters left: 2 (376 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (+ 2 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (sqrt (cbrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (fabs (cbrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (* (sqrt 1) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (+ 2 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (sqrt (cbrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 471 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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)) 1) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) 1) 1)
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (152 enodes)
* * [misc]simplify:  iters left: 2 (295 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ (+ 1.0 beta) alpha))) (fabs (cbrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (* alpha beta) (+ (+ 1.0 beta) alpha))) (sqrt 1)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ (+ 1.0 beta) alpha))) (fabs (cbrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (* alpha beta) (+ (+ 1.0 beta) alpha))) (sqrt 1))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (468 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (* (+ (+ beta 2) alpha) (+ (+ 1.0 2) (+ beta alpha)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (cbrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ (+ 1.0 beta) alpha))) (fabs (cbrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (* alpha beta) (+ (+ 1.0 beta) alpha))) (sqrt 1))) (/ (/ (cbrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (* (+ (+ beta 2) alpha) (+ (+ 1.0 2) (+ beta alpha)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (cbrt (+ (+ beta 2) alpha)))))))
* * * * [misc]progress:  [ 472 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))))) (* (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 (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (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 (27 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (123 enodes)
* * [misc]simplify:  iters left: 3 (294 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (fabs (cbrt (+ alpha (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (fabs (cbrt (+ alpha (+ 2 beta))))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (275 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (cbrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (fabs (cbrt (+ alpha (+ 2 beta))))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (cbrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 473 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))))) (* (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 (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (256 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (/ (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))))) (* (fabs (cbrt (+ (+ 2 beta) alpha))) (* (* (cbrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (/ (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))))) (* (fabs (cbrt (+ (+ 2 beta) alpha))) (* (* (cbrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (275 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (cbrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (/ (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))))) (* (fabs (cbrt (+ (+ 2 beta) alpha))) (* (* (cbrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (cbrt (+ (+ alpha 2) beta)))) (* (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 474 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (224 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (+ (+ 2 beta) alpha))) (/ (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (fabs (cbrt (+ (+ 2 beta) alpha)))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (+ (+ 2 beta) alpha))) (/ (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (fabs (cbrt (+ (+ 2 beta) alpha)))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (205 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (cbrt (+ beta (+ alpha 2))) (+ (+ 1.0 alpha) (+ beta 2)))) (* (sqrt (sqrt (+ beta (+ alpha 2)))) (sqrt (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (+ (+ 2 beta) alpha))) (/ (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (fabs (cbrt (+ (+ 2 beta) alpha)))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (cbrt (+ beta (+ alpha 2))) (+ (+ 1.0 alpha) (+ beta 2)))) (* (sqrt (sqrt (+ beta (+ alpha 2)))) (sqrt (cbrt (+ beta (+ alpha 2))))))))
* * * * [misc]progress:  [ 475 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))))) (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 (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (248 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (+ beta (+ alpha 2)))) (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (fabs (cbrt (+ beta (+ alpha 2)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (+ beta (+ alpha 2)))) (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (fabs (cbrt (+ beta (+ alpha 2))))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (238 enodes)
* * [misc]simplify:  iters left: 1 (281 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (cbrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (+ beta (+ alpha 2)))) (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (fabs (cbrt (+ beta (+ alpha 2))))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (cbrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 476 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (214 enodes)
* * [misc]simplify:  iters left: 2 (380 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (sqrt (sqrt (+ beta (+ alpha 2))))) (* (sqrt (+ (+ 1.0 beta) (+ alpha 2))) (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (sqrt (sqrt (+ beta (+ alpha 2))))) (* (sqrt (+ (+ 1.0 beta) (+ alpha 2))) (sqrt (+ beta (+ alpha 2)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (238 enodes)
* * [misc]simplify:  iters left: 1 (281 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (cbrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (sqrt (sqrt (+ beta (+ alpha 2))))) (* (sqrt (+ (+ 1.0 beta) (+ alpha 2))) (sqrt (+ beta (+ alpha 2)))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (cbrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 477 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (183 enodes)
* * [misc]simplify:  iters left: 2 (450 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (fabs (cbrt (+ alpha (+ 2 beta)))))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (fabs (cbrt (+ alpha (+ 2 beta)))))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (214 enodes)
* * [misc]simplify:  iters left: 2 (381 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (sqrt (cbrt (+ (+ alpha 2) beta)))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (sqrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (fabs (cbrt (+ alpha (+ 2 beta)))))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (sqrt (cbrt (+ (+ alpha 2) beta)))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (sqrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 478 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (259 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (fabs (cbrt (+ alpha (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (fabs (cbrt (+ alpha (+ 2 beta))))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (240 enodes)
* * [misc]simplify:  iters left: 2 (381 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (cbrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (fabs (cbrt (+ alpha (+ 2 beta))))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (cbrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 479 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (214 enodes)
* * [misc]simplify:  iters left: 2 (451 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (fabs (cbrt (+ (+ 2 beta) alpha)))) (/ (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (fabs (cbrt (+ (+ 2 beta) alpha)))) (/ (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (240 enodes)
* * [misc]simplify:  iters left: 2 (381 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (cbrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (fabs (cbrt (+ (+ 2 beta) alpha)))) (/ (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (cbrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 480 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ 2 (+ beta alpha))))) 1) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) 1)
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (157 enodes)
* * [misc]simplify:  iters left: 2 (305 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (430 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (* (* (+ (+ 1.0 2) (+ beta alpha)) (+ 2 (+ beta alpha))) (sqrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (* (* (+ (+ 1.0 2) (+ beta alpha)) (+ 2 (+ beta alpha))) (sqrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 481 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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) (* (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 (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 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 (23 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (115 enodes)
* * [misc]simplify:  iters left: 3 (304 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (159 enodes)
* * [misc]simplify:  iters left: 2 (231 enodes)
* * [misc]simplify:  iters left: 1 (273 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (cbrt (+ beta (+ alpha 2)))) (* (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))) (sqrt (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (cbrt (+ beta (+ alpha 2)))) (* (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))) (sqrt (cbrt (+ beta (+ alpha 2))))))))
* * * * [misc]progress:  [ 482 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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) (* (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 (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) 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 (107 enodes)
* * [misc]simplify:  iters left: 3 (271 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ beta (+ (* alpha beta) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ beta (+ (* alpha beta) (+ 1.0 alpha)))) (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ beta (+ (* alpha beta) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ beta (+ (* alpha beta) (+ 1.0 alpha)))) (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (159 enodes)
* * [misc]simplify:  iters left: 2 (231 enodes)
* * [misc]simplify:  iters left: 1 (273 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (cbrt (+ beta (+ alpha 2)))) (* (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (sqrt (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ beta (+ (* alpha beta) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ beta (+ (* alpha beta) (+ 1.0 alpha)))) (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (cbrt (+ beta (+ alpha 2)))) (* (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (sqrt (cbrt (+ beta (+ alpha 2))))))))
* * * * [misc]progress:  [ 483 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (209 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha)))) (/ (fabs (cbrt (+ (+ 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)) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha)))) (/ (fabs (cbrt (+ (+ 2 beta) alpha))) (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (211 enodes)
* * [misc]simplify:  iters left: 2 (371 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (* (* (+ (+ 1.0 2) (+ beta alpha)) (cbrt (+ (+ beta 2) alpha))) (sqrt (cbrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha)))) (/ (fabs (cbrt (+ (+ 2 beta) alpha))) (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)))) (/ (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (* (* (+ (+ 1.0 2) (+ beta alpha)) (cbrt (+ (+ beta 2) alpha))) (sqrt (cbrt (+ (+ beta 2) alpha)))))))
* * * * [misc]progress:  [ 484 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ (+ 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 (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 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 (24 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (235 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta)))) (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (+ beta (+ alpha 2))))) (fabs (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (* (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta)))) (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (+ beta (+ alpha 2))))) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* * [misc]simplify:  iters left: 2 (254 enodes)
* * [misc]simplify:  iters left: 1 (358 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (* (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta)))) (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (+ beta (+ alpha 2))))) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 485 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (215 enodes)
* * [misc]simplify:  iters left: 2 (462 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (fabs (cbrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (fabs (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* * [misc]simplify:  iters left: 2 (254 enodes)
* * [misc]simplify:  iters left: 1 (358 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ 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))) (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (fabs (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 486 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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 (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* * [misc]simplify:  iters left: 2 (369 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (fabs (cbrt (+ alpha (+ 2 beta))))) (/ (sqrt (+ 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)))) (fabs (cbrt (+ alpha (+ 2 beta))))) (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (199 enodes)
* * [misc]simplify:  iters left: 2 (382 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (* (+ (+ 1.0 alpha) (+ beta 2)) (+ beta (+ alpha 2)))) (sqrt (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (fabs (cbrt (+ alpha (+ 2 beta))))) (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (* (+ (+ 1.0 alpha) (+ beta 2)) (+ beta (+ alpha 2)))) (sqrt (cbrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 487 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) 1) 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 (48 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (234 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (fabs (cbrt (+ 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))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* * [misc]simplify:  iters left: 2 (376 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (+ 2 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (sqrt (cbrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))))) (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (+ 2 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (sqrt (cbrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 488 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) 1) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (184 enodes)
* * [misc]simplify:  iters left: 2 (313 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (sqrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (sqrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* * [misc]simplify:  iters left: 2 (376 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (+ 2 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (sqrt (cbrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (sqrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))))) (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (+ 2 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (sqrt (cbrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 489 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (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) 1) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) 1) 1) 1)
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (181 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))) (fabs (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (468 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (* (+ (+ beta 2) alpha) (+ (+ 1.0 2) (+ beta alpha)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (cbrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (/ (cbrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (* (+ (+ beta 2) alpha) (+ (+ 1.0 2) (+ beta alpha)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (cbrt (+ (+ beta 2) alpha)))))))
* * * * [misc]progress:  [ 490 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (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 (29 enodes)
* * [misc]simplify:  iters left: 5 (61 enodes)
* * [misc]simplify:  iters left: 4 (135 enodes)
* * [misc]simplify:  iters left: 3 (348 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ beta (+ (* alpha beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (+ beta (+ (* alpha beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (* (sqrt (sqrt (+ beta (+ alpha 2)))) (* (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ beta (+ (* alpha beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (+ beta (+ (* alpha beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (* (sqrt (sqrt (+ beta (+ alpha 2)))) (* (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ beta (+ alpha 2))))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (238 enodes)
* * [misc]simplify:  iters left: 1 (281 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ beta (+ (* alpha beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (+ beta (+ (* alpha beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (* (sqrt (sqrt (+ beta (+ alpha 2)))) (* (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ beta (+ alpha 2))))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 491 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (305 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ 2 beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ 2 beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (238 enodes)
* * [misc]simplify:  iters left: 1 (281 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ 2 beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 492 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (110 enodes)
* * [misc]simplify:  iters left: 3 (274 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (214 enodes)
* * [misc]simplify:  iters left: 2 (381 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (cbrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (cbrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 493 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (120 enodes)
* * [misc]simplify:  iters left: 3 (287 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (sqrt (+ beta (+ alpha 2)))))) (* (* (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (sqrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (sqrt (+ beta (+ alpha 2)))))) (* (* (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (275 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (sqrt (+ beta (+ alpha 2)))))) (* (* (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 494 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (255 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ 2 beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ 2 beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta))))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (275 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ 2 beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta))))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 495 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (222 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (* (sqrt (sqrt (+ (+ alpha 2) beta))) (sqrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ (+ alpha 2) beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (* (sqrt (sqrt (+ (+ alpha 2) beta))) (sqrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (205 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (sqrt (+ beta (+ alpha 2))) (+ (+ 1.0 alpha) (+ beta 2)))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (* (sqrt (sqrt (+ (+ alpha 2) beta))) (sqrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))))) (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (sqrt (+ beta (+ alpha 2))) (+ (+ 1.0 alpha) (+ beta 2)))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ beta (+ alpha 2))))))))
* * * * [misc]progress:  [ 496 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (123 enodes)
* * [misc]simplify:  iters left: 3 (300 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (sqrt (+ beta (+ alpha 2))))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (sqrt (+ beta (+ alpha 2))))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (240 enodes)
* * [misc]simplify:  iters left: 2 (381 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (sqrt (+ beta (+ alpha 2))))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 497 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (251 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (sqrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (240 enodes)
* * [misc]simplify:  iters left: 2 (381 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 498 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) 1)
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (194 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (cbrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (cbrt (sqrt (+ beta (+ alpha 2)))))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (cbrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (cbrt (sqrt (+ beta (+ alpha 2)))))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (430 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ (+ 1.0 2) (+ beta alpha)) (+ 2 (+ beta alpha))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (cbrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (cbrt (sqrt (+ beta (+ alpha 2)))))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ (+ 1.0 2) (+ beta alpha)) (+ 2 (+ beta alpha))) (cbrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 499 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (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 (29 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (317 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (sqrt (sqrt (+ alpha (+ 2 beta))))) (* (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (fabs (cbrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (sqrt (sqrt (+ alpha (+ 2 beta))))) (* (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (fabs (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (238 enodes)
* * [misc]simplify:  iters left: 1 (281 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (* (sqrt (cbrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (sqrt (sqrt (+ alpha (+ 2 beta))))) (* (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (fabs (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (* (sqrt (cbrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 500 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (115 enodes)
* * [misc]simplify:  iters left: 3 (272 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ (+ alpha 2) beta)) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (fabs (cbrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ (+ alpha 2) beta)) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (fabs (cbrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ alpha 2) beta))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (238 enodes)
* * [misc]simplify:  iters left: 1 (281 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (* (sqrt (cbrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ (+ alpha 2) beta)) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (fabs (cbrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (* (sqrt (cbrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 501 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (234 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (* (* (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (fabs (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (* (* (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (214 enodes)
* * [misc]simplify:  iters left: 2 (381 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (cbrt (+ (+ alpha 2) beta))) (sqrt (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))) (* (* (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (cbrt (+ (+ alpha 2) beta))) (sqrt (cbrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 502 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (245 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (fabs (cbrt (+ alpha (+ 2 beta))))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (* (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (sqrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (fabs (cbrt (+ alpha (+ 2 beta))))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (* (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (275 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (cbrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (fabs (cbrt (+ alpha (+ 2 beta))))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (* (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (cbrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 503 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (216 enodes)
* * [misc]simplify:  iters left: 2 (384 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))) (sqrt (+ beta (+ alpha 2)))) (* (* (fabs (cbrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (* (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))) (sqrt (+ beta (+ alpha 2)))) (* (* (fabs (cbrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (275 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (cbrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (* (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))) (sqrt (+ beta (+ alpha 2)))) (* (* (fabs (cbrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (cbrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 504 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (182 enodes)
* * [misc]simplify:  iters left: 2 (468 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ alpha 2) beta)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (205 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (sqrt (+ beta (+ alpha 2))) (+ (+ 1.0 alpha) (+ beta 2)))) (* (sqrt (cbrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ alpha 2) beta)))) (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (sqrt (+ beta (+ alpha 2))) (+ (+ 1.0 alpha) (+ beta 2)))) (* (sqrt (cbrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ beta (+ alpha 2))))))))
* * * * [misc]progress:  [ 505 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (254 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (fabs (cbrt (+ alpha (+ 2 beta))))) (/ (* (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (fabs (cbrt (+ alpha (+ 2 beta))))) (/ (* (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (240 enodes)
* * [misc]simplify:  iters left: 2 (381 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (fabs (cbrt (+ alpha (+ 2 beta))))) (/ (* (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 506 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (215 enodes)
* * [misc]simplify:  iters left: 2 (429 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (fabs (cbrt (+ beta (+ alpha 2)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (sqrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (fabs (cbrt (+ beta (+ alpha 2)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (240 enodes)
* * [misc]simplify:  iters left: 2 (381 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (fabs (cbrt (+ beta (+ alpha 2)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 507 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) 1)
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* * [misc]simplify:  iters left: 2 (275 enodes)
* * [misc]simplify:  iters left: 1 (479 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (fabs (cbrt (+ (+ 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 (sqrt (+ (+ alpha 2) beta))) (fabs (cbrt (+ (+ alpha 2) beta))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (430 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ (+ 1.0 2) (+ beta alpha)) (+ 2 (+ beta alpha))) (sqrt (cbrt (+ 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)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (fabs (cbrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ (+ 1.0 2) (+ beta alpha)) (+ 2 (+ beta alpha))) (sqrt (cbrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 508 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (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 (28 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (124 enodes)
* * [misc]simplify:  iters left: 3 (269 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (* (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 2 beta) alpha)))) (/ (sqrt (+ (+ 2 beta) 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 (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 2 beta) alpha)))) (/ (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* * [misc]simplify:  iters left: 2 (226 enodes)
* * [misc]simplify:  iters left: 1 (270 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (* (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 2 beta) alpha)))) (/ (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 509 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (* (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (* (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* * [misc]simplify:  iters left: 2 (226 enodes)
* * [misc]simplify:  iters left: 1 (270 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (* (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 510 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ alpha 2) beta)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (211 enodes)
* * [misc]simplify:  iters left: 2 (369 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (cbrt (+ (+ alpha 2) beta))) (* (sqrt (+ (+ alpha 2) beta)) (+ (+ 1.0 2) (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ alpha 2) beta)))) (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (cbrt (+ (+ alpha 2) beta))) (* (sqrt (+ (+ alpha 2) beta)) (+ (+ 1.0 2) (+ beta alpha))))))
* * * * [misc]progress:  [ 511 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (110 enodes)
* * [misc]simplify:  iters left: 3 (242 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (+ 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))) (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (+ alpha (+ 2 beta)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* * [misc]simplify:  iters left: 2 (235 enodes)
* * [misc]simplify:  iters left: 1 (261 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ 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))) (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (+ alpha (+ 2 beta)))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 512 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (202 enodes)
* * [misc]simplify:  iters left: 2 (417 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ (+ 1.0 beta) alpha))) (* (+ (+ 2 beta) alpha) (sqrt (+ (+ 1.0 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) (sqrt (+ (+ 1.0 2) (+ beta alpha))))) (cbrt (+ (* alpha beta) (+ (+ 1.0 beta) alpha)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* * [misc]simplify:  iters left: 2 (235 enodes)
* * [misc]simplify:  iters left: 1 (261 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ (+ 1.0 beta) alpha))) (* (+ (+ 2 beta) alpha) (sqrt (+ (+ 1.0 2) (+ beta alpha))))) (cbrt (+ (* alpha beta) (+ (+ 1.0 beta) alpha)))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 513 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (392 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (+ (+ alpha 2) beta)) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (219 enodes)
* * [misc]simplify:  iters left: 2 (426 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (+ (+ 1.0 alpha) (+ beta 2)) (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (+ (+ alpha 2) beta)) (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (+ (+ 1.0 alpha) (+ beta 2)) (+ beta (+ alpha 2))))))
* * * * [misc]progress:  [ 514 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (248 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (sqrt (+ 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))) (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (sqrt (+ alpha (+ 2 beta))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (239 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ (+ 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))) (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (sqrt (+ alpha (+ 2 beta))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 515 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (202 enodes)
* * [misc]simplify:  iters left: 2 (382 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ 2 beta) alpha)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (239 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (+ 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))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ 2 beta) alpha)))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 516 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) 1)
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (196 enodes)
* * [misc]simplify:  iters left: 1 (466 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (/ (sqrt (+ 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)))) (/ (sqrt (+ beta (+ alpha 2))) (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (427 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (* (* (+ (+ 1.0 2) (+ beta alpha)) (+ 2 (+ beta alpha))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (/ (sqrt (+ beta (+ alpha 2))) (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (* (* (+ (+ 1.0 2) (+ beta alpha)) (+ 2 (+ beta alpha))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 517 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 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 (25 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (119 enodes)
* * [misc]simplify:  iters left: 3 (294 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (sqrt 1)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (sqrt 1))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* * [misc]simplify:  iters left: 2 (241 enodes)
* * [misc]simplify:  iters left: 1 (318 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (sqrt 1))) (/ (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (sqrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 518 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (252 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (* (sqrt 1) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (* (sqrt 1) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* * [misc]simplify:  iters left: 2 (241 enodes)
* * [misc]simplify:  iters left: 1 (318 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (* (sqrt 1) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))))) (/ (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (sqrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 519 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (221 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt 1)) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt 1)) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (205 enodes)
* * [misc]simplify:  iters left: 2 (372 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ beta (+ alpha 2))))) (* (sqrt (sqrt (+ beta (+ alpha 2)))) (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt 1)) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ beta (+ alpha 2))))) (* (sqrt (sqrt (+ beta (+ alpha 2)))) (+ (+ 1.0 alpha) (+ beta 2))))))
* * * * [misc]progress:  [ 520 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 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 (49 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (245 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (sqrt 1) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (sqrt 1) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* * [misc]simplify:  iters left: 2 (245 enodes)
* * [misc]simplify:  iters left: 1 (347 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (+ beta (+ alpha 2)) (sqrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (sqrt 1) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (+ beta (+ alpha 2)) (sqrt (sqrt (+ beta (+ alpha 2))))))))
* * * * [misc]progress:  [ 521 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 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 (46 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (212 enodes)
* * [misc]simplify:  iters left: 2 (380 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt 1))) (/ (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ 1.0 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 (sqrt (+ alpha (+ 2 beta)))) (sqrt 1))) (/ (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* * [misc]simplify:  iters left: 2 (245 enodes)
* * [misc]simplify:  iters left: 1 (347 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (* (+ beta (+ alpha 2)) (sqrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt 1))) (/ (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (* (+ beta (+ alpha 2)) (sqrt (sqrt (+ beta (+ alpha 2))))))))
* * * * [misc]progress:  [ 522 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (177 enodes)
* * [misc]simplify:  iters left: 2 (444 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt 1))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (sqrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt 1))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (207 enodes)
* * [misc]simplify:  iters left: 2 (390 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (+ (+ beta 2) alpha) (+ (+ 1.0 2) (+ beta alpha)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt 1))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (+ (+ beta 2) alpha) (+ (+ 1.0 2) (+ beta alpha)))) (sqrt (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 523 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) 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 (49 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (255 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (sqrt 1)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (/ (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (sqrt 1)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (/ (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (233 enodes)
* * [misc]simplify:  iters left: 2 (378 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (sqrt 1)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (/ (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))))))
* * * * [misc]progress:  [ 524 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (209 enodes)
* * [misc]simplify:  iters left: 2 (450 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (sqrt 1) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (sqrt 1) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (233 enodes)
* * [misc]simplify:  iters left: 2 (378 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (sqrt 1) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))))))
* * * * [misc]progress:  [ 525 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) 1) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) 1) 1)
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (293 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (sqrt 1) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (sqrt 1) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (469 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (* (* (* (+ (+ beta 2) alpha) (+ (+ 1.0 2) (+ beta alpha))) (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (sqrt 1) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))))) (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (* (* (* (+ (+ beta 2) alpha) (+ (+ 1.0 2) (+ beta alpha))) (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha)))))))
* * * * [misc]progress:  [ 526 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (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 (28 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (124 enodes)
* * [misc]simplify:  iters left: 3 (269 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (* (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 2 beta) alpha)))) (/ (sqrt (+ (+ 2 beta) 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 (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 2 beta) alpha)))) (/ (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* * [misc]simplify:  iters left: 2 (226 enodes)
* * [misc]simplify:  iters left: 1 (270 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (* (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 2 beta) alpha)))) (/ (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 527 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (* (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (* (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* * [misc]simplify:  iters left: 2 (226 enodes)
* * [misc]simplify:  iters left: 1 (270 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (* (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 528 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ alpha 2) beta)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (211 enodes)
* * [misc]simplify:  iters left: 2 (369 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (cbrt (+ (+ alpha 2) beta))) (* (sqrt (+ (+ alpha 2) beta)) (+ (+ 1.0 2) (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ alpha 2) beta)))) (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (cbrt (+ (+ alpha 2) beta))) (* (sqrt (+ (+ alpha 2) beta)) (+ (+ 1.0 2) (+ beta alpha))))))
* * * * [misc]progress:  [ 529 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (110 enodes)
* * [misc]simplify:  iters left: 3 (242 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (+ 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))) (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (+ alpha (+ 2 beta)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* * [misc]simplify:  iters left: 2 (235 enodes)
* * [misc]simplify:  iters left: 1 (261 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ 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))) (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (+ alpha (+ 2 beta)))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 530 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (202 enodes)
* * [misc]simplify:  iters left: 2 (417 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ (+ 1.0 beta) alpha))) (* (+ (+ 2 beta) alpha) (sqrt (+ (+ 1.0 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) (sqrt (+ (+ 1.0 2) (+ beta alpha))))) (cbrt (+ (* alpha beta) (+ (+ 1.0 beta) alpha)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* * [misc]simplify:  iters left: 2 (235 enodes)
* * [misc]simplify:  iters left: 1 (261 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ (+ 1.0 beta) alpha))) (* (+ (+ 2 beta) alpha) (sqrt (+ (+ 1.0 2) (+ beta alpha))))) (cbrt (+ (* alpha beta) (+ (+ 1.0 beta) alpha)))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 531 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (392 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (+ (+ alpha 2) beta)) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (219 enodes)
* * [misc]simplify:  iters left: 2 (426 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (+ (+ 1.0 alpha) (+ beta 2)) (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (+ (+ alpha 2) beta)) (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (+ (+ 1.0 alpha) (+ beta 2)) (+ beta (+ alpha 2))))))
* * * * [misc]progress:  [ 532 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (248 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (sqrt (+ 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))) (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (sqrt (+ alpha (+ 2 beta))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (239 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ (+ 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))) (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (sqrt (+ alpha (+ 2 beta))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 533 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (202 enodes)
* * [misc]simplify:  iters left: 2 (382 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ 2 beta) alpha)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (239 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (+ 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))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ 2 beta) alpha)))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 534 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) 1)
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (196 enodes)
* * [misc]simplify:  iters left: 1 (466 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (/ (sqrt (+ 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)))) (/ (sqrt (+ beta (+ alpha 2))) (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (427 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (* (* (+ (+ 1.0 2) (+ beta alpha)) (+ 2 (+ beta alpha))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (/ (sqrt (+ beta (+ alpha 2))) (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (* (* (+ (+ 1.0 2) (+ beta alpha)) (+ 2 (+ beta alpha))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 535 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 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)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (sqrt (+ (+ alpha beta) (* 2 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 (24 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (115 enodes)
* * [misc]simplify:  iters left: 3 (306 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (/ (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (sqrt (+ alpha (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (/ (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (sqrt (+ alpha (+ 2 beta))))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* * [misc]simplify:  iters left: 2 (241 enodes)
* * [misc]simplify:  iters left: 1 (318 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (/ (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (sqrt (+ alpha (+ 2 beta))))))) (/ (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (sqrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 536 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) 1) (* (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 (49 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (276 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ beta (+ alpha 2))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ beta (+ alpha 2))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (cbrt (+ beta (+ alpha 2))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* * [misc]simplify:  iters left: 2 (241 enodes)
* * [misc]simplify:  iters left: 1 (318 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (sqrt (sqrt (+ (+ 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 (+ beta (+ alpha 2))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (cbrt (+ beta (+ alpha 2))))) (/ (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (sqrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 537 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (201 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (* (sqrt (sqrt (+ (+ 2 beta) 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)) (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (205 enodes)
* * [misc]simplify:  iters left: 2 (372 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ beta (+ alpha 2))))) (* (sqrt (sqrt (+ beta (+ alpha 2)))) (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ beta (+ alpha 2))))) (* (sqrt (sqrt (+ beta (+ alpha 2)))) (+ (+ 1.0 alpha) (+ beta 2))))))
* * * * [misc]progress:  [ 538 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (sqrt (+ (+ alpha beta) (* 2 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 (22 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (237 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))) (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))) (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (sqrt (+ alpha (+ 2 beta))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* * [misc]simplify:  iters left: 2 (245 enodes)
* * [misc]simplify:  iters left: 1 (347 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (+ beta (+ alpha 2)) (sqrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))) (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (sqrt (+ alpha (+ 2 beta))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (+ beta (+ alpha 2)) (sqrt (sqrt (+ beta (+ alpha 2))))))))
* * * * [misc]progress:  [ 539 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) 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 (45 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (214 enodes)
* * [misc]simplify:  iters left: 2 (491 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* * [misc]simplify:  iters left: 2 (245 enodes)
* * [misc]simplify:  iters left: 1 (347 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (* (+ beta (+ alpha 2)) (sqrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (* (+ beta (+ alpha 2)) (sqrt (sqrt (+ beta (+ alpha 2))))))))
* * * * [misc]progress:  [ 540 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) 1) (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 (79 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* * [misc]simplify:  iters left: 2 (367 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (sqrt (+ (+ alpha 2) beta))) (/ (sqrt (sqrt (+ (+ 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 (+ (+ alpha 2) beta))) (/ (sqrt (sqrt (+ (+ alpha 2) beta))) (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (207 enodes)
* * [misc]simplify:  iters left: 2 (390 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (+ (+ beta 2) alpha) (+ (+ 1.0 2) (+ beta alpha)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (sqrt (+ (+ alpha 2) beta))) (/ (sqrt (sqrt (+ (+ alpha 2) beta))) (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))))) (/ (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (+ (+ beta 2) alpha) (+ (+ 1.0 2) (+ beta alpha)))) (sqrt (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 541 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) 1) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) 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 (44 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (234 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (233 enodes)
* * [misc]simplify:  iters left: 2 (378 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))))) (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))))))
* * * * [misc]progress:  [ 542 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) 1) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) 1) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (189 enodes)
* * [misc]simplify:  iters left: 2 (400 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ 1.0 beta) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ 1.0 beta) (+ alpha 2))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (233 enodes)
* * [misc]simplify:  iters left: 2 (378 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ 1.0 beta) (+ alpha 2))))) (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))))))
* * * * [misc]progress:  [ 543 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) 1) 1) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) 1) 1) 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 (240 enodes)
* * [misc]simplify:  iters left: 1 (397 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ 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 (sqrt (+ beta (+ alpha 2))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (469 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (* (* (* (+ (+ beta 2) alpha) (+ (+ 1.0 2) (+ beta alpha))) (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) 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 (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (* (* (* (+ (+ beta 2) alpha) (+ (+ 1.0 2) (+ beta alpha))) (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha)))))))
* * * * [misc]progress:  [ 544 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (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 (sqrt (+ 2 (+ beta alpha))))) (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 1)) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (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 (28 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (134 enodes)
* * [misc]simplify:  iters left: 3 (344 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (sqrt 1) (* (* (cbrt (+ (+ beta 1.0) (+ 2 alpha))) (cbrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ beta 1.0) (+ 2 alpha))) (cbrt (+ 2 (+ beta alpha)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (sqrt 1) (* (* (cbrt (+ (+ beta 1.0) (+ 2 alpha))) (cbrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ beta 1.0) (+ 2 alpha))) (cbrt (+ 2 (+ beta alpha))))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (275 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (sqrt 1) (* (* (cbrt (+ (+ beta 1.0) (+ 2 alpha))) (cbrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ beta 1.0) (+ 2 alpha))) (cbrt (+ 2 (+ beta alpha))))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 545 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (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 (sqrt (+ 2 (+ beta alpha))))) (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 1)) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (124 enodes)
* * [misc]simplify:  iters left: 3 (303 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta 1.0) (+ 2 alpha))) (sqrt 1))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta 1.0) (+ 2 alpha))) (sqrt 1)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (275 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta 1.0) (+ 2 alpha))) (sqrt 1)))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 546 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 1)) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (275 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (sqrt 1)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (sqrt 1))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (205 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (sqrt (+ beta (+ alpha 2)))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (* (+ (+ 1.0 alpha) (+ beta 2)) (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (sqrt 1))) (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (sqrt (+ beta (+ alpha 2)))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (* (+ (+ 1.0 alpha) (+ beta 2)) (cbrt (+ beta (+ alpha 2))))))))
* * * * [misc]progress:  [ 547 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (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)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 1)) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (120 enodes)
* * [misc]simplify:  iters left: 3 (287 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt 1))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt 1)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (154 enodes)
* * [misc]simplify:  iters left: 2 (213 enodes)
* * [misc]simplify:  iters left: 1 (289 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt 1)))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 548 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 1)) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (254 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (sqrt (+ 2 (+ beta alpha))) (* (sqrt (+ (+ 2 alpha) (+ beta 1.0))) (sqrt 1))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (sqrt (+ 2 (+ beta alpha))) (* (sqrt (+ (+ 2 alpha) (+ beta 1.0))) (sqrt 1)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (154 enodes)
* * [misc]simplify:  iters left: 2 (213 enodes)
* * [misc]simplify:  iters left: 1 (289 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (sqrt (+ (+ 1.0 alpha) (+ beta 2))) (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (sqrt (+ 2 (+ beta alpha))) (* (sqrt (+ (+ 2 alpha) (+ beta 1.0))) (sqrt 1)))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (sqrt (+ (+ 1.0 alpha) (+ beta 2))) (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 549 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 1)) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (222 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ (+ 2 alpha) beta)))) (sqrt (+ (+ 2 alpha) beta))) (/ (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ (+ 2 alpha) beta)))) (sqrt 1)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ (+ 2 alpha) beta)))) (sqrt (+ (+ 2 alpha) beta))) (/ (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ (+ 2 alpha) beta)))) (sqrt 1))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (203 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (* (+ (+ alpha 2) beta) (+ (+ 1.0 beta) (+ alpha 2))) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ (+ 2 alpha) beta)))) (sqrt (+ (+ 2 alpha) beta))) (/ (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ (+ 2 alpha) beta)))) (sqrt 1))) (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (* (+ (+ alpha 2) beta) (+ (+ 1.0 beta) (+ alpha 2))) (cbrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 550 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 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 (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 1)) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (122 enodes)
* * [misc]simplify:  iters left: 3 (299 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt 1))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt 1)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* * [misc]simplify:  iters left: 2 (376 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt 1)))) (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 551 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 1)) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (111 enodes)
* * [misc]simplify:  iters left: 3 (246 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt 1)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt 1))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* * [misc]simplify:  iters left: 2 (376 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt 1))) (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 552 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 1)) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) 1)
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (189 enodes)
* * [misc]simplify:  iters left: 2 (474 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (cbrt (sqrt (+ (+ 2 alpha) beta)))) (sqrt 1)) (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (cbrt (sqrt (+ (+ 2 alpha) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (cbrt (sqrt (+ (+ 2 alpha) beta)))) (sqrt 1)) (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (cbrt (sqrt (+ (+ 2 alpha) beta))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (468 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ alpha 2) beta)))) (* (+ (+ 1.0 2) (+ beta alpha)) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (cbrt (sqrt (+ (+ 2 alpha) beta)))) (sqrt 1)) (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (cbrt (sqrt (+ (+ 2 alpha) beta))))) (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ alpha 2) beta)))) (* (+ (+ 1.0 2) (+ beta alpha)) (cbrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 553 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (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)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 1)) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (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 (28 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (124 enodes)
* * [misc]simplify:  iters left: 3 (306 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha))))) (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (sqrt 1) (fabs (cbrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (* (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha))))) (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (sqrt 1) (fabs (cbrt (+ 2 (+ beta alpha)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (275 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (* (sqrt (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (* (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha))))) (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (sqrt 1) (fabs (cbrt (+ 2 (+ beta alpha)))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (* (sqrt (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 554 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (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)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 1)) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* * [misc]simplify:  iters left: 3 (262 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (* (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt 1)) (fabs (cbrt (+ 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)))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (* (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt 1)) (fabs (cbrt (+ 2 (+ beta alpha))))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (275 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (* (sqrt (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (* (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt 1)) (fabs (cbrt (+ 2 (+ beta alpha))))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (* (sqrt (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 555 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 1)) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (226 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (* (cbrt (+ 2 (+ beta alpha))) (sqrt 1)))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (* (cbrt (+ 2 (+ beta alpha))) (sqrt 1)))) (cbrt (+ 2 (+ beta alpha)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (205 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (sqrt (+ beta (+ alpha 2)))) (* (sqrt (cbrt (+ beta (+ alpha 2)))) (* (+ (+ 1.0 alpha) (+ beta 2)) (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (* (cbrt (+ 2 (+ beta alpha))) (sqrt 1)))) (cbrt (+ 2 (+ beta alpha)))) (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (sqrt (+ beta (+ alpha 2)))) (* (sqrt (cbrt (+ beta (+ alpha 2)))) (* (+ (+ 1.0 alpha) (+ beta 2)) (cbrt (+ beta (+ alpha 2))))))))
* * * * [misc]progress:  [ 556 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (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 (cbrt (+ 2 (+ beta alpha))))) (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 1)) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (244 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (fabs (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta)))) (* (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt 1))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (fabs (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta)))) (* (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt 1)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (154 enodes)
* * [misc]simplify:  iters left: 2 (213 enodes)
* * [misc]simplify:  iters left: 1 (289 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (+ beta (+ alpha 2)))) (sqrt (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (fabs (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta)))) (* (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt 1)))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (+ beta (+ alpha 2)))) (sqrt (cbrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 557 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (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 (cbrt (+ 2 (+ beta alpha))))) (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 1)) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (215 enodes)
* * [misc]simplify:  iters left: 2 (382 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (sqrt 1) (fabs (cbrt (+ 2 (+ beta alpha)))))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (sqrt (+ 2 (+ beta alpha))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (sqrt 1) (fabs (cbrt (+ 2 (+ beta alpha)))))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (sqrt (+ 2 (+ beta alpha))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (154 enodes)
* * [misc]simplify:  iters left: 2 (213 enodes)
* * [misc]simplify:  iters left: 1 (289 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (sqrt (+ (+ 1.0 alpha) (+ beta 2))) (+ beta (+ alpha 2)))) (sqrt (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (sqrt 1) (fabs (cbrt (+ 2 (+ beta alpha)))))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (sqrt (+ 2 (+ beta alpha))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (sqrt (+ (+ 1.0 alpha) (+ beta 2))) (+ beta (+ alpha 2)))) (sqrt (cbrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 558 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 1)) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (182 enodes)
* * [misc]simplify:  iters left: 2 (446 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (fabs (cbrt (+ (+ 2 alpha) beta)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (sqrt (+ (+ 2 alpha) beta)) (sqrt 1))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (fabs (cbrt (+ (+ 2 alpha) beta)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (sqrt (+ (+ 2 alpha) beta)) (sqrt 1)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (203 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (* (+ (+ alpha 2) beta) (+ (+ 1.0 beta) (+ alpha 2))) (sqrt (cbrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (fabs (cbrt (+ (+ 2 alpha) beta)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (sqrt (+ (+ 2 alpha) beta)) (sqrt 1)))) (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (* (+ (+ alpha 2) beta) (+ (+ 1.0 beta) (+ alpha 2))) (sqrt (cbrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 559 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 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 (cbrt (+ 2 (+ beta alpha))))) (+ (+ 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 1)) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (254 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt 1)))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt 1)))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ 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 (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* * [misc]simplify:  iters left: 2 (376 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))) (sqrt (cbrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt 1)))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))) (sqrt (cbrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 560 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ 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 1)) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (211 enodes)
* * [misc]simplify:  iters left: 2 (424 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (* (sqrt 1) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (* (sqrt 1) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ 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 (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* * [misc]simplify:  iters left: 2 (376 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))) (sqrt (cbrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (* (sqrt 1) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))))) (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))) (sqrt (cbrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 561 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ 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 1)) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) 1)
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (273 enodes)
* * [misc]simplify:  iters left: 1 (477 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (sqrt 1)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (sqrt 1))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ 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 (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (468 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ alpha 2) beta)))) (* (+ (+ 1.0 2) (+ beta alpha)) (sqrt (cbrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (sqrt 1))) (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ alpha 2) beta)))) (* (+ (+ 1.0 2) (+ beta alpha)) (sqrt (cbrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 562 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (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)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (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 (27 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (122 enodes)
* * [misc]simplify:  iters left: 3 (295 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ 2 (+ beta alpha)))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt 1)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (* (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ 2 (+ beta alpha)))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt 1))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (275 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (* (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ 2 (+ beta alpha)))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt 1))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 563 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (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)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (256 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ 2 (+ beta alpha))) (sqrt 1))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (* (sqrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ 2 (+ beta alpha))) (sqrt 1))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (* (sqrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (275 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ 2 (+ beta alpha))) (sqrt 1))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (* (sqrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 564 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (222 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt 1)) (cbrt (+ 2 (+ beta alpha)))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (cbrt (+ 2 (+ beta alpha))) (sqrt (sqrt (+ 2 (+ beta alpha)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt 1)) (cbrt (+ 2 (+ beta alpha)))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (cbrt (+ 2 (+ beta alpha))) (sqrt (sqrt (+ 2 (+ beta alpha))))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (205 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (sqrt (+ beta (+ alpha 2)))) (* (sqrt (sqrt (+ beta (+ alpha 2)))) (* (+ (+ 1.0 alpha) (+ beta 2)) (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt 1)) (cbrt (+ 2 (+ beta alpha)))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (cbrt (+ 2 (+ beta alpha))) (sqrt (sqrt (+ 2 (+ beta alpha))))))) (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (sqrt (+ beta (+ alpha 2)))) (* (sqrt (sqrt (+ beta (+ alpha 2)))) (* (+ (+ 1.0 alpha) (+ beta 2)) (cbrt (+ beta (+ alpha 2))))))))
* * * * [misc]progress:  [ 565 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (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 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (110 enodes)
* * [misc]simplify:  iters left: 3 (245 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (* (cbrt (+ (+ 2 alpha) (+ beta 1.0))) (cbrt (+ (+ 2 alpha) (+ beta 1.0)))) (* (sqrt (+ 2 (+ beta alpha))) (sqrt 1))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (* (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (* (cbrt (+ (+ 2 alpha) (+ beta 1.0))) (cbrt (+ (+ 2 alpha) (+ beta 1.0)))) (* (sqrt (+ 2 (+ beta alpha))) (sqrt 1)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (154 enodes)
* * [misc]simplify:  iters left: 2 (213 enodes)
* * [misc]simplify:  iters left: 1 (289 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (+ beta (+ alpha 2)))) (sqrt (sqrt (+ beta (+ 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))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (* (cbrt (+ (+ 2 alpha) (+ beta 1.0))) (cbrt (+ (+ 2 alpha) (+ beta 1.0)))) (* (sqrt (+ 2 (+ beta alpha))) (sqrt 1)))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (+ beta (+ alpha 2)))) (sqrt (sqrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 566 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (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 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (216 enodes)
* * [misc]simplify:  iters left: 2 (383 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt 1)))
* [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 alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt 1))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (154 enodes)
* * [misc]simplify:  iters left: 2 (213 enodes)
* * [misc]simplify:  iters left: 1 (289 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (sqrt (+ (+ 1.0 alpha) (+ beta 2))) (+ beta (+ alpha 2)))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [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 alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt 1))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (sqrt (+ (+ 1.0 alpha) (+ beta 2))) (+ beta (+ alpha 2)))) (sqrt (sqrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 567 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (180 enodes)
* * [misc]simplify:  iters left: 2 (463 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (sqrt 1) (sqrt (+ (+ 2 alpha) beta)))) (/ (sqrt (sqrt (+ (+ 2 alpha) beta))) (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (sqrt 1) (sqrt (+ (+ 2 alpha) beta)))) (/ (sqrt (sqrt (+ (+ 2 alpha) beta))) (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (203 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (* (+ (+ alpha 2) beta) (+ (+ 1.0 beta) (+ alpha 2))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (sqrt 1) (sqrt (+ (+ 2 alpha) beta)))) (/ (sqrt (sqrt (+ (+ 2 alpha) beta))) (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))))) (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (* (+ (+ alpha 2) beta) (+ (+ 1.0 beta) (+ alpha 2))) (sqrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 568 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) 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 (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (111 enodes)
* * [misc]simplify:  iters left: 3 (256 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (* (cbrt (+ (+ beta 1.0) (+ 2 alpha))) (sqrt 1))) (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (cbrt (+ (+ beta 1.0) (+ 2 alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (* (cbrt (+ (+ beta 1.0) (+ 2 alpha))) (sqrt 1))) (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (cbrt (+ (+ beta 1.0) (+ 2 alpha)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* * [misc]simplify:  iters left: 2 (376 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (* (cbrt (+ (+ beta 1.0) (+ 2 alpha))) (sqrt 1))) (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (cbrt (+ (+ beta 1.0) (+ 2 alpha)))) (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 569 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (214 enodes)
* * [misc]simplify:  iters left: 2 (442 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt 1))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt 1)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* * [misc]simplify:  iters left: 2 (376 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt 1)))) (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 570 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) 1)
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (305 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt 1)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt 1))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (468 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ alpha 2) beta)))) (* (+ (+ 1.0 2) (+ beta alpha)) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt 1))) (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ alpha 2) beta)))) (* (+ (+ 1.0 2) (+ beta alpha)) (sqrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 571 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt 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)))) (sqrt (+ 2 (+ beta alpha)))) (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 1)) (sqrt 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 (51 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (252 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ 2 alpha) (+ beta 1.0))) (cbrt (+ (+ 2 alpha) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ 2 alpha) (+ beta 1.0))) (cbrt (+ (+ 2 alpha) (+ beta 1.0)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (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)))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* * [misc]simplify:  iters left: 2 (272 enodes)
* * [misc]simplify:  iters left: 1 (427 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (+ beta (+ alpha 2)) (cbrt (+ beta (+ alpha 2))))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ 2 alpha) (+ beta 1.0))) (cbrt (+ (+ 2 alpha) (+ beta 1.0)))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (+ beta (+ alpha 2)) (cbrt (+ beta (+ alpha 2))))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))))
* * * * [misc]progress:  [ 572 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt 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)))) (sqrt (+ 2 (+ beta alpha)))) (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 1)) (sqrt 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 (48 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (220 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ beta alpha) (+ (* alpha beta) 1.0))) (cbrt (+ (+ beta alpha) (+ (* alpha beta) 1.0)))) (* (* (cbrt (+ (+ 2 alpha) beta)) (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (cbrt (+ (+ 2 alpha) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ beta alpha) (+ (* alpha beta) 1.0))) (cbrt (+ (+ beta alpha) (+ (* alpha beta) 1.0)))) (* (* (cbrt (+ (+ 2 alpha) beta)) (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (cbrt (+ (+ 2 alpha) beta)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (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)))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* * [misc]simplify:  iters left: 2 (272 enodes)
* * [misc]simplify:  iters left: 1 (427 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (+ beta (+ alpha 2)) (cbrt (+ beta (+ alpha 2))))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ beta alpha) (+ (* alpha beta) 1.0))) (cbrt (+ (+ beta alpha) (+ (* alpha beta) 1.0)))) (* (* (cbrt (+ (+ 2 alpha) beta)) (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (cbrt (+ (+ 2 alpha) beta)))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (+ beta (+ alpha 2)) (cbrt (+ beta (+ alpha 2))))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* * * * [misc]progress:  [ 573 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt 1)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (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 1)) (sqrt 1)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* * [misc]simplify:  iters left: 2 (487 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ beta (+ 2 alpha)))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ beta (+ 2 alpha)))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ beta (+ 2 alpha))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (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)))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (211 enodes)
* * [misc]simplify:  iters left: 2 (420 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ (+ alpha 2) beta)) (* (+ (+ alpha 2) beta) (+ (+ 1.0 2) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ beta (+ 2 alpha)))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ beta (+ 2 alpha))))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ (+ alpha 2) beta)) (* (+ (+ alpha 2) beta) (+ (+ 1.0 2) (+ beta alpha)))))))
* * * * [misc]progress:  [ 574 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt 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 (+ 2 (+ beta alpha)))) (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 1)) (sqrt 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 (48 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (202 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ (+ 2 alpha) (+ beta 1.0))) (cbrt (+ (+ 2 alpha) (+ beta 1.0))))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ 2 alpha) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ (+ 2 alpha) (+ beta 1.0))) (cbrt (+ (+ 2 alpha) (+ beta 1.0))))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ 2 alpha) beta)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (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 (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* * [misc]simplify:  iters left: 2 (294 enodes)
* * [misc]simplify:  iters left: 1 (444 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ (+ 2 alpha) (+ beta 1.0))) (cbrt (+ (+ 2 alpha) (+ beta 1.0))))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ 2 alpha) beta)))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))))
* * * * [misc]progress:  [ 575 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt 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 (+ 2 (+ beta alpha)))) (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 1)) (sqrt 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 (45 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (178 enodes)
* * [misc]simplify:  iters left: 2 (376 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (sqrt (+ 2 (+ beta alpha))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (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 (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* * [misc]simplify:  iters left: 2 (294 enodes)
* * [misc]simplify:  iters left: 1 (444 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (sqrt (+ 2 (+ beta alpha))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* * * * [misc]progress:  [ 576 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (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 1)) (sqrt 1)) (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 (76 enodes)
* * [misc]simplify:  iters left: 3 (143 enodes)
* * [misc]simplify:  iters left: 2 (329 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ (+ 1.0 beta) (* alpha beta)) alpha)) (cbrt (+ (+ (+ 1.0 beta) (* alpha beta)) alpha))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ (+ 1.0 beta) (* alpha beta)) alpha)) (cbrt (+ (+ (+ 1.0 beta) (* alpha beta)) alpha))) (sqrt (+ 2 (+ beta alpha)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (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 (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ 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 (91 enodes)
* * [misc]simplify:  iters left: 3 (213 enodes)
* * [misc]simplify:  iters left: 2 (405 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (* (+ (+ beta alpha) (+ 1.0 2)) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ (+ 1.0 beta) (* alpha beta)) alpha)) (cbrt (+ (+ (+ 1.0 beta) (* alpha beta)) alpha))) (sqrt (+ 2 (+ beta alpha)))) (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (* (+ (+ beta alpha) (+ 1.0 2)) (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 577 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt 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)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 1)) (sqrt 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 (47 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (186 enodes)
* * [misc]simplify:  iters left: 2 (401 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ beta 1.0) (+ 2 alpha)))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ beta 1.0) (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ beta 1.0) (+ 2 alpha)))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ beta 1.0) (+ 2 alpha))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (240 enodes)
* * [misc]simplify:  iters left: 2 (417 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ beta 1.0) (+ 2 alpha)))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ beta 1.0) (+ 2 alpha))))) (/ (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 578 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt 1)) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 1)) (sqrt 1)) 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 (89 enodes)
* * [misc]simplify:  iters left: 3 (160 enodes)
* * [misc]simplify:  iters left: 2 (267 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (240 enodes)
* * [misc]simplify:  iters left: 2 (417 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (/ (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 579 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt 1)) 1) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ 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))))>
* [enter]simplify:  Simplifying (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt 1)) 1) 1)
* * [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 (110 enodes)
* * [misc]simplify:  iters left: 2 (200 enodes)
* * [misc]simplify:  iters left: 1 (277 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)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ 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 (108 enodes)
* * [misc]simplify:  iters left: 3 (476 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (* (+ (+ 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 (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (* (+ (+ beta 1.0) (+ alpha 2)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 580 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (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)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (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 (27 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (122 enodes)
* * [misc]simplify:  iters left: 3 (295 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ 2 (+ beta alpha)))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt 1)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (* (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ 2 (+ beta alpha)))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt 1))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (275 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (* (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ 2 (+ beta alpha)))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt 1))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 581 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (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)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (256 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ 2 (+ beta alpha))) (sqrt 1))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (* (sqrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ 2 (+ beta alpha))) (sqrt 1))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (* (sqrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (275 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ 2 (+ beta alpha))) (sqrt 1))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (* (sqrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 582 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (222 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt 1)) (cbrt (+ 2 (+ beta alpha)))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (cbrt (+ 2 (+ beta alpha))) (sqrt (sqrt (+ 2 (+ beta alpha)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt 1)) (cbrt (+ 2 (+ beta alpha)))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (cbrt (+ 2 (+ beta alpha))) (sqrt (sqrt (+ 2 (+ beta alpha))))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (205 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (sqrt (+ beta (+ alpha 2)))) (* (sqrt (sqrt (+ beta (+ alpha 2)))) (* (+ (+ 1.0 alpha) (+ beta 2)) (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt 1)) (cbrt (+ 2 (+ beta alpha)))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (cbrt (+ 2 (+ beta alpha))) (sqrt (sqrt (+ 2 (+ beta alpha))))))) (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (sqrt (+ beta (+ alpha 2)))) (* (sqrt (sqrt (+ beta (+ alpha 2)))) (* (+ (+ 1.0 alpha) (+ beta 2)) (cbrt (+ beta (+ alpha 2))))))))
* * * * [misc]progress:  [ 583 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (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 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (110 enodes)
* * [misc]simplify:  iters left: 3 (245 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (* (cbrt (+ (+ 2 alpha) (+ beta 1.0))) (cbrt (+ (+ 2 alpha) (+ beta 1.0)))) (* (sqrt (+ 2 (+ beta alpha))) (sqrt 1))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (* (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (* (cbrt (+ (+ 2 alpha) (+ beta 1.0))) (cbrt (+ (+ 2 alpha) (+ beta 1.0)))) (* (sqrt (+ 2 (+ beta alpha))) (sqrt 1)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (154 enodes)
* * [misc]simplify:  iters left: 2 (213 enodes)
* * [misc]simplify:  iters left: 1 (289 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (+ beta (+ alpha 2)))) (sqrt (sqrt (+ beta (+ 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))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (* (cbrt (+ (+ 2 alpha) (+ beta 1.0))) (cbrt (+ (+ 2 alpha) (+ beta 1.0)))) (* (sqrt (+ 2 (+ beta alpha))) (sqrt 1)))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (+ beta (+ alpha 2)))) (sqrt (sqrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 584 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (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 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (216 enodes)
* * [misc]simplify:  iters left: 2 (383 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt 1)))
* [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 alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt 1))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (154 enodes)
* * [misc]simplify:  iters left: 2 (213 enodes)
* * [misc]simplify:  iters left: 1 (289 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (sqrt (+ (+ 1.0 alpha) (+ beta 2))) (+ beta (+ alpha 2)))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [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 alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt 1))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (sqrt (+ (+ 1.0 alpha) (+ beta 2))) (+ beta (+ alpha 2)))) (sqrt (sqrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 585 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (180 enodes)
* * [misc]simplify:  iters left: 2 (463 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (sqrt 1) (sqrt (+ (+ 2 alpha) beta)))) (/ (sqrt (sqrt (+ (+ 2 alpha) beta))) (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (sqrt 1) (sqrt (+ (+ 2 alpha) beta)))) (/ (sqrt (sqrt (+ (+ 2 alpha) beta))) (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (203 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (* (+ (+ alpha 2) beta) (+ (+ 1.0 beta) (+ alpha 2))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (sqrt 1) (sqrt (+ (+ 2 alpha) beta)))) (/ (sqrt (sqrt (+ (+ 2 alpha) beta))) (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))))) (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (* (+ (+ alpha 2) beta) (+ (+ 1.0 beta) (+ alpha 2))) (sqrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 586 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) 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 (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (111 enodes)
* * [misc]simplify:  iters left: 3 (256 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (* (cbrt (+ (+ beta 1.0) (+ 2 alpha))) (sqrt 1))) (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (cbrt (+ (+ beta 1.0) (+ 2 alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (* (cbrt (+ (+ beta 1.0) (+ 2 alpha))) (sqrt 1))) (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (cbrt (+ (+ beta 1.0) (+ 2 alpha)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* * [misc]simplify:  iters left: 2 (376 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (* (cbrt (+ (+ beta 1.0) (+ 2 alpha))) (sqrt 1))) (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (cbrt (+ (+ beta 1.0) (+ 2 alpha)))) (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 587 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (214 enodes)
* * [misc]simplify:  iters left: 2 (442 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt 1))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt 1)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* * [misc]simplify:  iters left: 2 (376 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt 1)))) (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 588 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 1)) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) 1)
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (305 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt 1)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt 1))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (468 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ alpha 2) beta)))) (* (+ (+ 1.0 2) (+ beta alpha)) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt 1))) (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ alpha 2) beta)))) (* (+ (+ 1.0 2) (+ beta alpha)) (sqrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 589 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 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)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (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 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 (23 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (115 enodes)
* * [misc]simplify:  iters left: 3 (305 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ alpha (+ (* alpha beta) (+ beta 1.0)))) (* (cbrt (+ (+ beta alpha) (+ 2 1.0))) (* (cbrt (+ (+ beta alpha) (+ 2 1.0))) (cbrt (+ (+ 2 alpha) beta))))) (/ (/ (cbrt (+ alpha (+ (* alpha beta) (+ beta 1.0)))) (sqrt 1)) (cbrt (+ (+ 2 alpha) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ alpha (+ (* alpha beta) (+ beta 1.0)))) (* (cbrt (+ (+ beta alpha) (+ 2 1.0))) (* (cbrt (+ (+ beta alpha) (+ 2 1.0))) (cbrt (+ (+ 2 alpha) beta))))) (/ (/ (cbrt (+ alpha (+ (* alpha beta) (+ beta 1.0)))) (sqrt 1)) (cbrt (+ (+ 2 alpha) beta)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (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)))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* * [misc]simplify:  iters left: 2 (272 enodes)
* * [misc]simplify:  iters left: 1 (427 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (+ beta (+ alpha 2)) (cbrt (+ beta (+ alpha 2))))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ alpha (+ (* alpha beta) (+ beta 1.0)))) (* (cbrt (+ (+ beta alpha) (+ 2 1.0))) (* (cbrt (+ (+ beta alpha) (+ 2 1.0))) (cbrt (+ (+ 2 alpha) beta))))) (/ (/ (cbrt (+ alpha (+ (* alpha beta) (+ beta 1.0)))) (sqrt 1)) (cbrt (+ (+ 2 alpha) beta)))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (+ beta (+ alpha 2)) (cbrt (+ beta (+ alpha 2))))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))))
* * * * [misc]progress:  [ 590 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) 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)))) (sqrt (+ 2 (+ beta alpha)))) (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 1)) 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 (48 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (272 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta)))) (* (* (cbrt (+ alpha (+ 2 beta))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (* (sqrt 1) (cbrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta)))) (* (* (cbrt (+ alpha (+ 2 beta))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (* (sqrt 1) (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (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)))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* * [misc]simplify:  iters left: 2 (272 enodes)
* * [misc]simplify:  iters left: 1 (427 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (+ beta (+ alpha 2)) (cbrt (+ beta (+ alpha 2))))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta)))) (* (* (cbrt (+ alpha (+ 2 beta))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (* (sqrt 1) (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (+ beta (+ alpha 2)) (cbrt (+ beta (+ alpha 2))))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* * * * [misc]progress:  [ 591 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (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 1)) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (210 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta)))) (* (cbrt (+ beta (+ 2 alpha))) (* (sqrt 1) (cbrt (+ beta (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta)))) (* (cbrt (+ beta (+ 2 alpha))) (* (sqrt 1) (cbrt (+ beta (+ 2 alpha)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (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)))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (211 enodes)
* * [misc]simplify:  iters left: 2 (420 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ (+ alpha 2) beta)) (* (+ (+ alpha 2) beta) (+ (+ 1.0 2) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta)))) (* (cbrt (+ beta (+ 2 alpha))) (* (sqrt 1) (cbrt (+ beta (+ 2 alpha)))))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ (+ alpha 2) beta)) (* (+ (+ alpha 2) beta) (+ (+ 1.0 2) (+ beta alpha)))))))
* * * * [misc]progress:  [ 592 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) 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 (+ 2 (+ beta alpha)))) (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 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 (22 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (239 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt 1))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt 1)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (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 (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* * [misc]simplify:  iters left: 2 (294 enodes)
* * [misc]simplify:  iters left: 1 (444 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt 1)))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))))
* * * * [misc]progress:  [ 593 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) 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 (+ 2 (+ beta alpha)))) (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 1)) 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 (45 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (213 enodes)
* * [misc]simplify:  iters left: 2 (497 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt 1)) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (* (sqrt (+ 2 (+ beta alpha))) (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt 1)) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (* (sqrt (+ 2 (+ beta alpha))) (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (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 (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* * [misc]simplify:  iters left: 2 (294 enodes)
* * [misc]simplify:  iters left: 1 (444 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt 1)) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (* (sqrt (+ 2 (+ beta alpha))) (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* * * * [misc]progress:  [ 594 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (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 1)) 1) (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 (79 enodes)
* * [misc]simplify:  iters left: 3 (167 enodes)
* * [misc]simplify:  iters left: 2 (391 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 beta) (+ (* alpha beta) alpha))) (sqrt 1)) (/ (sqrt (+ beta (+ 2 alpha))) (cbrt (+ (+ 1.0 beta) (+ (* alpha beta) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ 1.0 beta) (+ (* alpha beta) alpha))) (sqrt 1)) (/ (sqrt (+ beta (+ 2 alpha))) (cbrt (+ (+ 1.0 beta) (+ (* alpha beta) alpha))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (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 (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ 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 (91 enodes)
* * [misc]simplify:  iters left: 3 (213 enodes)
* * [misc]simplify:  iters left: 2 (405 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (* (+ (+ beta alpha) (+ 1.0 2)) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ 1.0 beta) (+ (* alpha beta) alpha))) (sqrt 1)) (/ (sqrt (+ beta (+ 2 alpha))) (cbrt (+ (+ 1.0 beta) (+ (* alpha beta) alpha))))) (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (* (+ (+ beta alpha) (+ 1.0 2)) (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 595 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) 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)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 1)) 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 (45 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (227 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (sqrt 1)) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ (+ beta 1.0) (+ 2 alpha))) (cbrt (+ (+ beta 1.0) (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (sqrt 1)) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ (+ beta 1.0) (+ 2 alpha))) (cbrt (+ (+ beta 1.0) (+ 2 alpha)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (240 enodes)
* * [misc]simplify:  iters left: 2 (417 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (sqrt 1)) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (cbrt (+ (+ beta 1.0) (+ 2 alpha))) (cbrt (+ (+ beta 1.0) (+ 2 alpha)))))) (/ (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 596 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) 1) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 1)) 1) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (179 enodes)
* * [misc]simplify:  iters left: 2 (342 enodes)
* * [misc]simplify:  iters left: 1 (493 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt 1)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt 1))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (240 enodes)
* * [misc]simplify:  iters left: 2 (417 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt 1))) (/ (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 597 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) 1) 1) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ 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))))>
* [enter]simplify:  Simplifying (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) 1) 1) 1)
* * [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 (107 enodes)
* * [misc]simplify:  iters left: 2 (211 enodes)
* * [misc]simplify:  iters left: 1 (235 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (/ (sqrt 1) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (/ (sqrt 1) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ 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))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ 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]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (476 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (* (+ (+ beta 1.0) (+ alpha 2)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (/ (sqrt 1) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (* (+ (+ beta 1.0) (+ alpha 2)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 598 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (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 (29 enodes)
* * [misc]simplify:  iters left: 5 (61 enodes)
* * [misc]simplify:  iters left: 4 (135 enodes)
* * [misc]simplify:  iters left: 3 (348 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ beta (+ (* alpha beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (+ beta (+ (* alpha beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (* (sqrt (sqrt (+ beta (+ alpha 2)))) (* (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ beta (+ (* alpha beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (+ beta (+ (* alpha beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (* (sqrt (sqrt (+ beta (+ alpha 2)))) (* (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ beta (+ alpha 2))))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (238 enodes)
* * [misc]simplify:  iters left: 1 (281 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ beta (+ (* alpha beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (+ beta (+ (* alpha beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (* (sqrt (sqrt (+ beta (+ alpha 2)))) (* (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ beta (+ alpha 2))))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 599 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (305 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ 2 beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ 2 beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (238 enodes)
* * [misc]simplify:  iters left: 1 (281 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ 2 beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 600 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (110 enodes)
* * [misc]simplify:  iters left: 3 (274 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (214 enodes)
* * [misc]simplify:  iters left: 2 (381 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (cbrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (cbrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 601 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (120 enodes)
* * [misc]simplify:  iters left: 3 (287 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (sqrt (+ beta (+ alpha 2)))))) (* (* (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (sqrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (sqrt (+ beta (+ alpha 2)))))) (* (* (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (275 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (sqrt (+ beta (+ alpha 2)))))) (* (* (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 602 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (255 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ 2 beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ 2 beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta))))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (275 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ 2 beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta))))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 603 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (222 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (* (sqrt (sqrt (+ (+ alpha 2) beta))) (sqrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ (+ alpha 2) beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (* (sqrt (sqrt (+ (+ alpha 2) beta))) (sqrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (205 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (sqrt (+ beta (+ alpha 2))) (+ (+ 1.0 alpha) (+ beta 2)))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (* (sqrt (sqrt (+ (+ alpha 2) beta))) (sqrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (sqrt (+ (+ alpha 2) beta)))))) (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (sqrt (+ beta (+ alpha 2))) (+ (+ 1.0 alpha) (+ beta 2)))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ beta (+ alpha 2))))))))
* * * * [misc]progress:  [ 604 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (123 enodes)
* * [misc]simplify:  iters left: 3 (300 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (sqrt (+ beta (+ alpha 2))))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (sqrt (+ beta (+ alpha 2))))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (240 enodes)
* * [misc]simplify:  iters left: 2 (381 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (sqrt (+ beta (+ alpha 2))))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 605 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (251 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (sqrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (240 enodes)
* * [misc]simplify:  iters left: 2 (381 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 606 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) 1) 1)
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (194 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (cbrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (cbrt (sqrt (+ beta (+ alpha 2)))))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (cbrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (cbrt (sqrt (+ beta (+ alpha 2)))))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (430 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ (+ 1.0 2) (+ beta alpha)) (+ 2 (+ beta alpha))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (cbrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (cbrt (sqrt (+ beta (+ alpha 2)))))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ (+ 1.0 2) (+ beta alpha)) (+ 2 (+ beta alpha))) (cbrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 607 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (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 (29 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (317 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (sqrt (sqrt (+ alpha (+ 2 beta))))) (* (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (fabs (cbrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (sqrt (sqrt (+ alpha (+ 2 beta))))) (* (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (fabs (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (238 enodes)
* * [misc]simplify:  iters left: 1 (281 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (* (sqrt (cbrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (sqrt (sqrt (+ alpha (+ 2 beta))))) (* (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (fabs (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (* (sqrt (cbrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 608 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (115 enodes)
* * [misc]simplify:  iters left: 3 (272 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ (+ alpha 2) beta)) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (fabs (cbrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ (+ alpha 2) beta)) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (fabs (cbrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ alpha 2) beta))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (238 enodes)
* * [misc]simplify:  iters left: 1 (281 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (* (sqrt (cbrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ (+ alpha 2) beta)) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (fabs (cbrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (* (sqrt (cbrt (+ 2 (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 609 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (234 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (* (* (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (fabs (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (* (* (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (214 enodes)
* * [misc]simplify:  iters left: 2 (381 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (cbrt (+ (+ alpha 2) beta))) (sqrt (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))) (* (* (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (cbrt (+ (+ alpha 2) beta))) (sqrt (cbrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 610 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (245 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (fabs (cbrt (+ alpha (+ 2 beta))))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (* (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (sqrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (fabs (cbrt (+ alpha (+ 2 beta))))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (* (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (275 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (cbrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (fabs (cbrt (+ alpha (+ 2 beta))))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (* (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (cbrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 611 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (216 enodes)
* * [misc]simplify:  iters left: 2 (384 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))) (sqrt (+ beta (+ alpha 2)))) (* (* (fabs (cbrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (* (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))) (sqrt (+ beta (+ alpha 2)))) (* (* (fabs (cbrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (275 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (cbrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (* (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))) (sqrt (+ beta (+ alpha 2)))) (* (* (fabs (cbrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (cbrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 612 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (182 enodes)
* * [misc]simplify:  iters left: 2 (468 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ alpha 2) beta)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (205 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (sqrt (+ beta (+ alpha 2))) (+ (+ 1.0 alpha) (+ beta 2)))) (* (sqrt (cbrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ alpha 2) beta)))) (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (sqrt (+ beta (+ alpha 2))) (+ (+ 1.0 alpha) (+ beta 2)))) (* (sqrt (cbrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ beta (+ alpha 2))))))))
* * * * [misc]progress:  [ 613 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (254 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (fabs (cbrt (+ alpha (+ 2 beta))))) (/ (* (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (fabs (cbrt (+ alpha (+ 2 beta))))) (/ (* (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (240 enodes)
* * [misc]simplify:  iters left: 2 (381 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (fabs (cbrt (+ alpha (+ 2 beta))))) (/ (* (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 614 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (215 enodes)
* * [misc]simplify:  iters left: 2 (429 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (fabs (cbrt (+ beta (+ alpha 2)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (sqrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (fabs (cbrt (+ beta (+ alpha 2)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (240 enodes)
* * [misc]simplify:  iters left: 2 (381 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (fabs (cbrt (+ beta (+ alpha 2)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (* (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 615 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) 1) 1)
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* * [misc]simplify:  iters left: 2 (275 enodes)
* * [misc]simplify:  iters left: 1 (479 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (fabs (cbrt (+ (+ 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 (sqrt (+ (+ alpha 2) beta))) (fabs (cbrt (+ (+ alpha 2) beta))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (430 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ (+ 1.0 2) (+ beta alpha)) (+ 2 (+ beta alpha))) (sqrt (cbrt (+ 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)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (fabs (cbrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (* (+ (+ 1.0 2) (+ beta alpha)) (+ 2 (+ beta alpha))) (sqrt (cbrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 616 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (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 (28 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (124 enodes)
* * [misc]simplify:  iters left: 3 (269 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (* (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 2 beta) alpha)))) (/ (sqrt (+ (+ 2 beta) 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 (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 2 beta) alpha)))) (/ (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* * [misc]simplify:  iters left: 2 (226 enodes)
* * [misc]simplify:  iters left: 1 (270 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (* (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 2 beta) alpha)))) (/ (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 617 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (* (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (* (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* * [misc]simplify:  iters left: 2 (226 enodes)
* * [misc]simplify:  iters left: 1 (270 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (* (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 618 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ alpha 2) beta)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (211 enodes)
* * [misc]simplify:  iters left: 2 (369 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (cbrt (+ (+ alpha 2) beta))) (* (sqrt (+ (+ alpha 2) beta)) (+ (+ 1.0 2) (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ alpha 2) beta)))) (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (cbrt (+ (+ alpha 2) beta))) (* (sqrt (+ (+ alpha 2) beta)) (+ (+ 1.0 2) (+ beta alpha))))))
* * * * [misc]progress:  [ 619 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (110 enodes)
* * [misc]simplify:  iters left: 3 (242 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (+ 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))) (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (+ alpha (+ 2 beta)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* * [misc]simplify:  iters left: 2 (235 enodes)
* * [misc]simplify:  iters left: 1 (261 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ 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))) (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (+ alpha (+ 2 beta)))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 620 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (202 enodes)
* * [misc]simplify:  iters left: 2 (417 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ (+ 1.0 beta) alpha))) (* (+ (+ 2 beta) alpha) (sqrt (+ (+ 1.0 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) (sqrt (+ (+ 1.0 2) (+ beta alpha))))) (cbrt (+ (* alpha beta) (+ (+ 1.0 beta) alpha)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* * [misc]simplify:  iters left: 2 (235 enodes)
* * [misc]simplify:  iters left: 1 (261 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ (+ 1.0 beta) alpha))) (* (+ (+ 2 beta) alpha) (sqrt (+ (+ 1.0 2) (+ beta alpha))))) (cbrt (+ (* alpha beta) (+ (+ 1.0 beta) alpha)))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 621 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (392 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (+ (+ alpha 2) beta)) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (219 enodes)
* * [misc]simplify:  iters left: 2 (426 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (+ (+ 1.0 alpha) (+ beta 2)) (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (+ (+ alpha 2) beta)) (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (+ (+ 1.0 alpha) (+ beta 2)) (+ beta (+ alpha 2))))))
* * * * [misc]progress:  [ 622 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (248 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (sqrt (+ 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))) (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (sqrt (+ alpha (+ 2 beta))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (239 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ (+ 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))) (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (sqrt (+ alpha (+ 2 beta))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 623 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (202 enodes)
* * [misc]simplify:  iters left: 2 (382 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ 2 beta) alpha)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (239 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (+ 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))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ 2 beta) alpha)))) (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (sqrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 624 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) 1) 1)
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (196 enodes)
* * [misc]simplify:  iters left: 1 (466 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (/ (sqrt (+ 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)))) (/ (sqrt (+ beta (+ alpha 2))) (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (427 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (* (* (+ (+ 1.0 2) (+ beta alpha)) (+ 2 (+ beta alpha))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (/ (sqrt (+ beta (+ alpha 2))) (cbrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (* (* (+ (+ 1.0 2) (+ beta alpha)) (+ 2 (+ beta alpha))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 625 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 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 (25 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (119 enodes)
* * [misc]simplify:  iters left: 3 (294 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (sqrt 1)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (sqrt 1))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* * [misc]simplify:  iters left: 2 (241 enodes)
* * [misc]simplify:  iters left: 1 (318 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (sqrt 1))) (/ (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (sqrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 626 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (252 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (* (sqrt 1) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (* (sqrt 1) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* * [misc]simplify:  iters left: 2 (241 enodes)
* * [misc]simplify:  iters left: 1 (318 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (* (sqrt 1) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))))) (/ (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (sqrt (sqrt (+ (+ alpha 2) beta)))))))
* * * * [misc]progress:  [ 627 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (221 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt 1)) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt 1)) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (205 enodes)
* * [misc]simplify:  iters left: 2 (372 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ beta (+ alpha 2))))) (* (sqrt (sqrt (+ beta (+ alpha 2)))) (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt 1)) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (/ (/ (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta))) (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ beta (+ alpha 2))))) (* (sqrt (sqrt (+ beta (+ alpha 2)))) (+ (+ 1.0 alpha) (+ beta 2))))))
* * * * [misc]progress:  [ 628 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 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 (49 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (245 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (sqrt 1) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (sqrt 1) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* * [misc]simplify:  iters left: 2 (245 enodes)
* * [misc]simplify:  iters left: 1 (347 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (+ beta (+ alpha 2)) (sqrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (sqrt 1) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (+ beta (+ alpha 2)) (sqrt (sqrt (+ beta (+ alpha 2))))))))
* * * * [misc]progress:  [ 629 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 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 (46 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (212 enodes)
* * [misc]simplify:  iters left: 2 (380 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt 1))) (/ (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ 1.0 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 (sqrt (+ alpha (+ 2 beta)))) (sqrt 1))) (/ (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* * [misc]simplify:  iters left: 2 (245 enodes)
* * [misc]simplify:  iters left: 1 (347 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (* (+ beta (+ alpha 2)) (sqrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt 1))) (/ (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))))) (/ (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (* (+ beta (+ alpha 2)) (sqrt (sqrt (+ beta (+ alpha 2))))))))
* * * * [misc]progress:  [ 630 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (177 enodes)
* * [misc]simplify:  iters left: 2 (444 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt 1))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (sqrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt 1))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (207 enodes)
* * [misc]simplify:  iters left: 2 (390 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (+ (+ beta 2) alpha) (+ (+ 1.0 2) (+ beta alpha)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt 1))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (+ (+ beta 2) alpha) (+ (+ 1.0 2) (+ beta alpha)))) (sqrt (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 631 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) 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 (49 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (255 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (sqrt 1)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (/ (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (sqrt 1)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (/ (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (233 enodes)
* * [misc]simplify:  iters left: 2 (378 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (sqrt 1)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (/ (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))))))
* * * * [misc]progress:  [ 632 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (209 enodes)
* * [misc]simplify:  iters left: 2 (450 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (sqrt 1) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (sqrt 1) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (233 enodes)
* * [misc]simplify:  iters left: 2 (378 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (sqrt 1) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha))))) (* (sqrt (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))))))
* * * * [misc]progress:  [ 633 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) 1) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) 1) 1)
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (293 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (sqrt 1) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (sqrt 1) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (469 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (* (* (* (+ (+ beta 2) alpha) (+ (+ 1.0 2) (+ beta alpha))) (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (sqrt 1) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))))) (/ (cbrt (+ (+ beta (+ 1.0 alpha)) (* alpha beta))) (* (* (* (+ (+ beta 2) alpha) (+ (+ 1.0 2) (+ beta alpha))) (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha)))))))
* * * * [misc]progress:  [ 634 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (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 (28 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (124 enodes)
* * [misc]simplify:  iters left: 3 (269 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (* (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 2 beta) alpha)))) (/ (sqrt (+ (+ 2 beta) 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 (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 2 beta) alpha)))) (/ (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* * [misc]simplify:  iters left: 2 (226 enodes)
* * [misc]simplify:  iters left: 1 (270 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (* (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 2 beta) alpha)))) (/ (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 635 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (* (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (* (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* * [misc]simplify:  iters left: 2 (226 enodes)
* * [misc]simplify:  iters left: 1 (270 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (* (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 636 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ alpha 2) beta)))) (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (211 enodes)
* * [misc]simplify:  iters left: 2 (369 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (cbrt (+ (+ alpha 2) beta))) (* (sqrt (+ (+ alpha 2) beta)) (+ (+ 1.0 2) (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ alpha 2) beta)))) (/ (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (cbrt (+ (+ alpha 2) beta))) (* (sqrt (+ (+ alpha 2) beta)) (+ (+ 1.0 2) (+ beta alpha))))))
* * * * [misc]progress:  [ 637 / 2105 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (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 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)